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Finding the Fourth Proportional to 31,678.79, 47,481.98 and 15,015.24

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Solution

The fourth proportional to 31,678.79, 47,481.98 and 15,015.24 is: 22,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.79 : 47,481.98 = 15,015.24 : x
  2. Step 2: Convert to fraction form
    31,678.79/47,481.98 = 15,015.24/x
  3. Step 3: Cross multiply
    31,678.79x = 47,481.98 × 15,015.24
  4. Step 4: Simplify right side
    31,678.79x = 712,953,250.30
  5. Step 5: Solve for x
    x = 712,953,250.30/31,678.79
  6. Step 6: Final answer
    x = 22,505.70

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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.