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Finding the Fourth Proportional to 62,442.42, 86,171.22 and 34,147.50

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Solution

The fourth proportional to 62,442.42, 86,171.22 and 34,147.50 is: 47,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,442.42 : 86,171.22 = 34,147.50 : x
  2. Step 2: Convert to fraction form
    62,442.42/86,171.22 = 34,147.50/x
  3. Step 3: Cross multiply
    62,442.42x = 86,171.22 × 34,147.50
  4. Step 4: Simplify right side
    62,442.42x = 2,942,531,734.95
  5. Step 5: Solve for x
    x = 2,942,531,734.95/62,442.42
  6. Step 6: Final answer
    x = 47,123.92

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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.