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Finding the Fourth Proportional to 72,149.73, 108,223.70 and 24,121.93

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Solution

The fourth proportional to 72,149.73, 108,223.70 and 24,121.93 is: 36,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,149.73 : 108,223.70 = 24,121.93 : x
  2. Step 2: Convert to fraction form
    72,149.73/108,223.70 = 24,121.93/x
  3. Step 3: Cross multiply
    72,149.73x = 108,223.70 × 24,121.93
  4. Step 4: Simplify right side
    72,149.73x = 2,610,564,023.11
  5. Step 5: Solve for x
    x = 2,610,564,023.11/72,149.73
  6. Step 6: Final answer
    x = 36,182.59

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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.