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Finding the Fourth Proportional to 121,658.76, 182,494.62 and 38,559.24

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Solution

The fourth proportional to 121,658.76, 182,494.62 and 38,559.24 is: 57,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,658.76 : 182,494.62 = 38,559.24 : x
  2. Step 2: Convert to fraction form
    121,658.76/182,494.62 = 38,559.24/x
  3. Step 3: Cross multiply
    121,658.76x = 182,494.62 × 38,559.24
  4. Step 4: Simplify right side
    121,658.76x = 7,036,853,851.29
  5. Step 5: Solve for x
    x = 7,036,853,851.29/121,658.76
  6. Step 6: Final answer
    x = 57,840.91

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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.