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Finding the Fourth Proportional to 31,650.84, 47,470.85 and 10,587.96

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Solution

The fourth proportional to 31,650.84, 47,470.85 and 10,587.96 is: 15,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.84 : 47,470.85 = 10,587.96 : x
  2. Step 2: Convert to fraction form
    31,650.84/47,470.85 = 10,587.96/x
  3. Step 3: Cross multiply
    31,650.84x = 47,470.85 × 10,587.96
  4. Step 4: Simplify right side
    31,650.84x = 502,619,460.97
  5. Step 5: Solve for x
    x = 502,619,460.97/31,650.84
  6. Step 6: Final answer
    x = 15,880.13

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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.