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Finding the Fourth Proportional to 32,142.40, 44,333.74 and 27,658.44

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Solution

The fourth proportional to 32,142.40, 44,333.74 and 27,658.44 is: 38,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.40 : 44,333.74 = 27,658.44 : x
  2. Step 2: Convert to fraction form
    32,142.40/44,333.74 = 27,658.44/x
  3. Step 3: Cross multiply
    32,142.40x = 44,333.74 × 27,658.44
  4. Step 4: Simplify right side
    32,142.40x = 1,226,202,129.45
  5. Step 5: Solve for x
    x = 1,226,202,129.45/32,142.40
  6. Step 6: Final answer
    x = 38,149.05

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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.