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Finding the Fourth Proportional to 71,388.40, 107,039.40 and 31,938.16

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Solution

The fourth proportional to 71,388.40, 107,039.40 and 31,938.16 is: 47,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,388.40 : 107,039.40 = 31,938.16 : x
  2. Step 2: Convert to fraction form
    71,388.40/107,039.40 = 31,938.16/x
  3. Step 3: Cross multiply
    71,388.40x = 107,039.40 × 31,938.16
  4. Step 4: Simplify right side
    71,388.40x = 3,418,641,483.50
  5. Step 5: Solve for x
    x = 3,418,641,483.50/71,388.40
  6. Step 6: Final answer
    x = 47,887.91

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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.