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Finding the Fourth Proportional to 31,737.97, 47,599.12 and 13,023.33

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Solution

The fourth proportional to 31,737.97, 47,599.12 and 13,023.33 is: 19,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.97 : 47,599.12 = 13,023.33 : x
  2. Step 2: Convert to fraction form
    31,737.97/47,599.12 = 13,023.33/x
  3. Step 3: Cross multiply
    31,737.97x = 47,599.12 × 13,023.33
  4. Step 4: Simplify right side
    31,737.97x = 619,899,047.47
  5. Step 5: Solve for x
    x = 619,899,047.47/31,737.97
  6. Step 6: Final answer
    x = 19,531.78

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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.