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Finding the Fourth Proportional to 71,539.85, 107,340.08 and 35,982.47

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Solution

The fourth proportional to 71,539.85, 107,340.08 and 35,982.47 is: 53,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,539.85 : 107,340.08 = 35,982.47 : x
  2. Step 2: Convert to fraction form
    71,539.85/107,340.08 = 35,982.47/x
  3. Step 3: Cross multiply
    71,539.85x = 107,340.08 × 35,982.47
  4. Step 4: Simplify right side
    71,539.85x = 3,862,360,491.78
  5. Step 5: Solve for x
    x = 3,862,360,491.78/71,539.85
  6. Step 6: Final answer
    x = 53,988.94

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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.