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Finding the Fourth Proportional to 71,160.30, 106,742.61 and 24,412.50

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Solution

The fourth proportional to 71,160.30, 106,742.61 and 24,412.50 is: 36,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,160.30 : 106,742.61 = 24,412.50 : x
  2. Step 2: Convert to fraction form
    71,160.30/106,742.61 = 24,412.50/x
  3. Step 3: Cross multiply
    71,160.30x = 106,742.61 × 24,412.50
  4. Step 4: Simplify right side
    71,160.30x = 2,605,853,966.63
  5. Step 5: Solve for x
    x = 2,605,853,966.63/71,160.30
  6. Step 6: Final answer
    x = 36,619.49

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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.