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Finding the Fourth Proportional to 62,459.28, 86,193.84 and 34,164.96

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Solution

The fourth proportional to 62,459.28, 86,193.84 and 34,164.96 is: 47,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,459.28 : 86,193.84 = 34,164.96 : x
  2. Step 2: Convert to fraction form
    62,459.28/86,193.84 = 34,164.96/x
  3. Step 3: Cross multiply
    62,459.28x = 86,193.84 × 34,164.96
  4. Step 4: Simplify right side
    62,459.28x = 2,944,809,095.85
  5. Step 5: Solve for x
    x = 2,944,809,095.85/62,459.28
  6. Step 6: Final answer
    x = 47,147.66

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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.