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Finding the Fourth Proportional to 31,808.80, 47,732.70 and 13,097.80

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Solution

The fourth proportional to 31,808.80, 47,732.70 and 13,097.80 is: 19,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.80 : 47,732.70 = 13,097.80 : x
  2. Step 2: Convert to fraction form
    31,808.80/47,732.70 = 13,097.80/x
  3. Step 3: Cross multiply
    31,808.80x = 47,732.70 × 13,097.80
  4. Step 4: Simplify right side
    31,808.80x = 625,193,358.06
  5. Step 5: Solve for x
    x = 625,193,358.06/31,808.80
  6. Step 6: Final answer
    x = 19,654.73

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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.