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Finding the Fourth Proportional to 40,703.60, 61,055.40 and 34,142.60

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Solution

The fourth proportional to 40,703.60, 61,055.40 and 34,142.60 is: 51,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,703.60 : 61,055.40 = 34,142.60 : x
  2. Step 2: Convert to fraction form
    40,703.60/61,055.40 = 34,142.60/x
  3. Step 3: Cross multiply
    40,703.60x = 61,055.40 × 34,142.60
  4. Step 4: Simplify right side
    40,703.60x = 2,084,590,100.04
  5. Step 5: Solve for x
    x = 2,084,590,100.04/40,703.60
  6. Step 6: Final answer
    x = 51,213.90

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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.