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Finding the Fourth Proportional to 62,464.32, 86,202.14 and 34,170

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Solution

The fourth proportional to 62,464.32, 86,202.14 and 34,170 is: 47,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,464.32 : 86,202.14 = 34,170 : x
  2. Step 2: Convert to fraction form
    62,464.32/86,202.14 = 34,170/x
  3. Step 3: Cross multiply
    62,464.32x = 86,202.14 × 34,170
  4. Step 4: Simplify right side
    62,464.32x = 2,945,527,123.80
  5. Step 5: Solve for x
    x = 2,945,527,123.80/62,464.32
  6. Step 6: Final answer
    x = 47,155.35

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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.