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Finding the Fourth Proportional to 31,580.92, 47,376.06 and 10,514.08

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Solution

The fourth proportional to 31,580.92, 47,376.06 and 10,514.08 is: 15,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.92 : 47,376.06 = 10,514.08 : x
  2. Step 2: Convert to fraction form
    31,580.92/47,376.06 = 10,514.08/x
  3. Step 3: Cross multiply
    31,580.92x = 47,376.06 × 10,514.08
  4. Step 4: Simplify right side
    31,580.92x = 498,115,684.92
  5. Step 5: Solve for x
    x = 498,115,684.92/31,580.92
  6. Step 6: Final answer
    x = 15,772.68

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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.