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Finding the Fourth Proportional to 31,585.92, 47,400 and 13,117.92

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Solution

The fourth proportional to 31,585.92, 47,400 and 13,117.92 is: 19,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.92 : 47,400 = 13,117.92 : x
  2. Step 2: Convert to fraction form
    31,585.92/47,400 = 13,117.92/x
  3. Step 3: Cross multiply
    31,585.92x = 47,400 × 13,117.92
  4. Step 4: Simplify right side
    31,585.92x = 621,789,408
  5. Step 5: Solve for x
    x = 621,789,408/31,585.92
  6. Step 6: Final answer
    x = 19,685.65

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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.