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Finding the Fourth Proportional to 32,421.50, 44,712.56 and 27,658.62

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Solution

The fourth proportional to 32,421.50, 44,712.56 and 27,658.62 is: 38,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421.50 : 44,712.56 = 27,658.62 : x
  2. Step 2: Convert to fraction form
    32,421.50/44,712.56 = 27,658.62/x
  3. Step 3: Cross multiply
    32,421.50x = 44,712.56 × 27,658.62
  4. Step 4: Simplify right side
    32,421.50x = 1,236,687,567.97
  5. Step 5: Solve for x
    x = 1,236,687,567.97/32,421.50
  6. Step 6: Final answer
    x = 38,144.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.