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Finding the Fourth Proportional to 71,031.71, 106,564.92 and 23,646.71

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Solution

The fourth proportional to 71,031.71, 106,564.92 and 23,646.71 is: 35,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,031.71 : 106,564.92 = 23,646.71 : x
  2. Step 2: Convert to fraction form
    71,031.71/106,564.92 = 23,646.71/x
  3. Step 3: Cross multiply
    71,031.71x = 106,564.92 × 23,646.71
  4. Step 4: Simplify right side
    71,031.71x = 2,519,909,759.41
  5. Step 5: Solve for x
    x = 2,519,909,759.41/71,031.71
  6. Step 6: Final answer
    x = 35,475.84

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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.