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Finding the Fourth Proportional to 71,443.50, 107,165.29 and 21,523.61

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Solution

The fourth proportional to 71,443.50, 107,165.29 and 21,523.61 is: 32,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,443.50 : 107,165.29 = 21,523.61 : x
  2. Step 2: Convert to fraction form
    71,443.50/107,165.29 = 21,523.61/x
  3. Step 3: Cross multiply
    71,443.50x = 107,165.29 × 21,523.61
  4. Step 4: Simplify right side
    71,443.50x = 2,306,583,800.02
  5. Step 5: Solve for x
    x = 2,306,583,800.02/71,443.50
  6. Step 6: Final answer
    x = 32,285.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.