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Finding the Fourth Proportional to 52,503.75, 72,452.54 and 29,839.75

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Solution

The fourth proportional to 52,503.75, 72,452.54 and 29,839.75 is: 41,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.75 : 72,452.54 = 29,839.75 : x
  2. Step 2: Convert to fraction form
    52,503.75/72,452.54 = 29,839.75/x
  3. Step 3: Cross multiply
    52,503.75x = 72,452.54 × 29,839.75
  4. Step 4: Simplify right side
    52,503.75x = 2,161,965,573.93
  5. Step 5: Solve for x
    x = 2,161,965,573.93/52,503.75
  6. Step 6: Final answer
    x = 41,177.36

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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.