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Finding the Fourth Proportional to 62,842.86, 86,724.84 and 34,164.48

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Solution

The fourth proportional to 62,842.86, 86,724.84 and 34,164.48 is: 47,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842.86 : 86,724.84 = 34,164.48 : x
  2. Step 2: Convert to fraction form
    62,842.86/86,724.84 = 34,164.48/x
  3. Step 3: Cross multiply
    62,842.86x = 86,724.84 × 34,164.48
  4. Step 4: Simplify right side
    62,842.86x = 2,962,909,061.68
  5. Step 5: Solve for x
    x = 2,962,909,061.68/62,842.86
  6. Step 6: Final answer
    x = 47,147.90

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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.