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Finding the Fourth Proportional to 74,003.82, 102,046.41 and 59,648.56

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Solution

The fourth proportional to 74,003.82, 102,046.41 and 59,648.56 is: 82,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,003.82 : 102,046.41 = 59,648.56 : x
  2. Step 2: Convert to fraction form
    74,003.82/102,046.41 = 59,648.56/x
  3. Step 3: Cross multiply
    74,003.82x = 102,046.41 × 59,648.56
  4. Step 4: Simplify right side
    74,003.82x = 6,086,921,154.55
  5. Step 5: Solve for x
    x = 6,086,921,154.55/74,003.82
  6. Step 6: Final answer
    x = 82,251.45

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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.