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Finding the Fourth Proportional to 31,853.44, 47,787.86 and 9,665.52

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Solution

The fourth proportional to 31,853.44, 47,787.86 and 9,665.52 is: 14,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.44 : 47,787.86 = 9,665.52 : x
  2. Step 2: Convert to fraction form
    31,853.44/47,787.86 = 9,665.52/x
  3. Step 3: Cross multiply
    31,853.44x = 47,787.86 × 9,665.52
  4. Step 4: Simplify right side
    31,853.44x = 461,894,516.59
  5. Step 5: Solve for x
    x = 461,894,516.59/31,853.44
  6. Step 6: Final answer
    x = 14,500.62

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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.