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Finding the Fourth Proportional to 52,481.78, 72,426.80 and 29,824.61

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Solution

The fourth proportional to 52,481.78, 72,426.80 and 29,824.61 is: 41,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,481.78 : 72,426.80 = 29,824.61 : x
  2. Step 2: Convert to fraction form
    52,481.78/72,426.80 = 29,824.61/x
  3. Step 3: Cross multiply
    52,481.78x = 72,426.80 × 29,824.61
  4. Step 4: Simplify right side
    52,481.78x = 2,160,101,063.55
  5. Step 5: Solve for x
    x = 2,160,101,063.55/52,481.78
  6. Step 6: Final answer
    x = 41,159.07

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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.