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Finding the Fourth Proportional to 71,305.50, 106,874.73 and 24,517.02

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Solution

The fourth proportional to 71,305.50, 106,874.73 and 24,517.02 is: 36,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.50 : 106,874.73 = 24,517.02 : x
  2. Step 2: Convert to fraction form
    71,305.50/106,874.73 = 24,517.02/x
  3. Step 3: Cross multiply
    71,305.50x = 106,874.73 × 24,517.02
  4. Step 4: Simplify right side
    71,305.50x = 2,620,249,892.90
  5. Step 5: Solve for x
    x = 2,620,249,892.90/71,305.50
  6. Step 6: Final answer
    x = 36,746.81

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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.