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Finding the Fourth Proportional to 31,773.97, 47,658.88 and 13,049.16

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Solution

The fourth proportional to 31,773.97, 47,658.88 and 13,049.16 is: 19,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.97 : 47,658.88 = 13,049.16 : x
  2. Step 2: Convert to fraction form
    31,773.97/47,658.88 = 13,049.16/x
  3. Step 3: Cross multiply
    31,773.97x = 47,658.88 × 13,049.16
  4. Step 4: Simplify right side
    31,773.97x = 621,908,350.54
  5. Step 5: Solve for x
    x = 621,908,350.54/31,773.97
  6. Step 6: Final answer
    x = 19,572.89

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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.