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Finding the Fourth Proportional to 72,458.96, 99,974.43 and 41,824.55

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Solution

The fourth proportional to 72,458.96, 99,974.43 and 41,824.55 is: 57,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,458.96 : 99,974.43 = 41,824.55 : x
  2. Step 2: Convert to fraction form
    72,458.96/99,974.43 = 41,824.55/x
  3. Step 3: Cross multiply
    72,458.96x = 99,974.43 × 41,824.55
  4. Step 4: Simplify right side
    72,458.96x = 4,181,385,046.38
  5. Step 5: Solve for x
    x = 4,181,385,046.38/72,458.96
  6. Step 6: Final answer
    x = 57,706.95

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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.