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Finding the Fourth Proportional to 41,658.42, 57,488.38 and 22,538.14

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Solution

The fourth proportional to 41,658.42, 57,488.38 and 22,538.14 is: 31,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.42 : 57,488.38 = 22,538.14 : x
  2. Step 2: Convert to fraction form
    41,658.42/57,488.38 = 22,538.14/x
  3. Step 3: Cross multiply
    41,658.42x = 57,488.38 × 22,538.14
  4. Step 4: Simplify right side
    41,658.42x = 1,295,681,156.81
  5. Step 5: Solve for x
    x = 1,295,681,156.81/41,658.42
  6. Step 6: Final answer
    x = 31,102.50

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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.