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Finding the Fourth Proportional to 31,872.70, 47,809.03 and 15,182.13

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Solution

The fourth proportional to 31,872.70, 47,809.03 and 15,182.13 is: 22,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.70 : 47,809.03 = 15,182.13 : x
  2. Step 2: Convert to fraction form
    31,872.70/47,809.03 = 15,182.13/x
  3. Step 3: Cross multiply
    31,872.70x = 47,809.03 × 15,182.13
  4. Step 4: Simplify right side
    31,872.70x = 725,842,908.63
  5. Step 5: Solve for x
    x = 725,842,908.63/31,872.70
  6. Step 6: Final answer
    x = 22,773.19

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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.