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Finding the Fourth Proportional to 52,248.44, 72,101.58 and 29,891

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Solution

The fourth proportional to 52,248.44, 72,101.58 and 29,891 is: 41,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,248.44 : 72,101.58 = 29,891 : x
  2. Step 2: Convert to fraction form
    52,248.44/72,101.58 = 29,891/x
  3. Step 3: Cross multiply
    52,248.44x = 72,101.58 × 29,891
  4. Step 4: Simplify right side
    52,248.44x = 2,155,188,327.78
  5. Step 5: Solve for x
    x = 2,155,188,327.78/52,248.44
  6. Step 6: Final answer
    x = 41,248.86

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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.