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Finding the Fourth Proportional to 31,794.64, 47,691.92 and 12,073.16

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Solution

The fourth proportional to 31,794.64, 47,691.92 and 12,073.16 is: 18,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.64 : 47,691.92 = 12,073.16 : x
  2. Step 2: Convert to fraction form
    31,794.64/47,691.92 = 12,073.16/x
  3. Step 3: Cross multiply
    31,794.64x = 47,691.92 × 12,073.16
  4. Step 4: Simplify right side
    31,794.64x = 575,792,330.28
  5. Step 5: Solve for x
    x = 575,792,330.28/31,794.64
  6. Step 6: Final answer
    x = 18,109.73

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1.5x scale

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.