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Finding the Fourth Proportional to 54,658.64, 75,429.07 and 31,692.91

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Solution

The fourth proportional to 54,658.64, 75,429.07 and 31,692.91 is: 43,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.64 : 75,429.07 = 31,692.91 : x
  2. Step 2: Convert to fraction form
    54,658.64/75,429.07 = 31,692.91/x
  3. Step 3: Cross multiply
    54,658.64x = 75,429.07 × 31,692.91
  4. Step 4: Simplify right side
    54,658.64x = 2,390,566,349.75
  5. Step 5: Solve for x
    x = 2,390,566,349.75/54,658.64
  6. Step 6: Final answer
    x = 43,736.30

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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.