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Finding the Fourth Proportional to 37,687.52, 56,531.28 and 14,313.90

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Solution

The fourth proportional to 37,687.52, 56,531.28 and 14,313.90 is: 21,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,687.52 : 56,531.28 = 14,313.90 : x
  2. Step 2: Convert to fraction form
    37,687.52/56,531.28 = 14,313.90/x
  3. Step 3: Cross multiply
    37,687.52x = 56,531.28 × 14,313.90
  4. Step 4: Simplify right side
    37,687.52x = 809,183,088.79
  5. Step 5: Solve for x
    x = 809,183,088.79/37,687.52
  6. Step 6: Final answer
    x = 21,470.85

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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.