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Finding the Fourth Proportional to 71,313,802.60, 106,970,703.90 and 17,461,114.60

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Solution

The fourth proportional to 71,313,802.60, 106,970,703.90 and 17,461,114.60 is: 26,191,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313,802.60 : 106,970,703.90 = 17,461,114.60 : x
  2. Step 2: Convert to fraction form
    71,313,802.60/106,970,703.90 = 17,461,114.60/x
  3. Step 3: Cross multiply
    71,313,802.60x = 106,970,703.90 × 17,461,114.60
  4. Step 4: Simplify right side
    71,313,802.60x = 1,867,827,719,640,567.25
  5. Step 5: Solve for x
    x = 1,867,827,719,640,567.25/71,313,802.60
  6. Step 6: Final answer
    x = 26,191,671.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.