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Finding the Fourth Proportional to 31,633.62, 47,463.62 and 13,877.04

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Solution

The fourth proportional to 31,633.62, 47,463.62 and 13,877.04 is: 20,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.62 : 47,463.62 = 13,877.04 : x
  2. Step 2: Convert to fraction form
    31,633.62/47,463.62 = 13,877.04/x
  3. Step 3: Cross multiply
    31,633.62x = 47,463.62 × 13,877.04
  4. Step 4: Simplify right side
    31,633.62x = 658,654,553.28
  5. Step 5: Solve for x
    x = 658,654,553.28/31,633.62
  6. Step 6: Final answer
    x = 20,821.35

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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.