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Finding the Fourth Proportional to 97,802.60, 146,703.90 and 23,930.60

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Solution

The fourth proportional to 97,802.60, 146,703.90 and 23,930.60 is: 35,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802.60 : 146,703.90 = 23,930.60 : x
  2. Step 2: Convert to fraction form
    97,802.60/146,703.90 = 23,930.60/x
  3. Step 3: Cross multiply
    97,802.60x = 146,703.90 × 23,930.60
  4. Step 4: Simplify right side
    97,802.60x = 3,510,712,349.34
  5. Step 5: Solve for x
    x = 3,510,712,349.34/97,802.60
  6. Step 6: Final answer
    x = 35,895.90

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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.