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Finding the Fourth Proportional to 48,438.24, 72,658.74 and 13,377.90

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Solution

The fourth proportional to 48,438.24, 72,658.74 and 13,377.90 is: 20,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438.24 : 72,658.74 = 13,377.90 : x
  2. Step 2: Convert to fraction form
    48,438.24/72,658.74 = 13,377.90/x
  3. Step 3: Cross multiply
    48,438.24x = 72,658.74 × 13,377.90
  4. Step 4: Simplify right side
    48,438.24x = 972,021,357.85
  5. Step 5: Solve for x
    x = 972,021,357.85/48,438.24
  6. Step 6: Final answer
    x = 20,067.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.