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Finding the Fourth Proportional to 31,737.82, 47,613.39 and 9,552.82

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Solution

The fourth proportional to 31,737.82, 47,613.39 and 9,552.82 is: 14,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.82 : 47,613.39 = 9,552.82 : x
  2. Step 2: Convert to fraction form
    31,737.82/47,613.39 = 9,552.82/x
  3. Step 3: Cross multiply
    31,737.82x = 47,613.39 × 9,552.82
  4. Step 4: Simplify right side
    31,737.82x = 454,842,144.26
  5. Step 5: Solve for x
    x = 454,842,144.26/31,737.82
  6. Step 6: Final answer
    x = 14,331.23

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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.