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Finding the Fourth Proportional to 59,694.48, 82,380.40 and 32,838

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Solution

The fourth proportional to 59,694.48, 82,380.40 and 32,838 is: 45,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,694.48 : 82,380.40 = 32,838 : x
  2. Step 2: Convert to fraction form
    59,694.48/82,380.40 = 32,838/x
  3. Step 3: Cross multiply
    59,694.48x = 82,380.40 × 32,838
  4. Step 4: Simplify right side
    59,694.48x = 2,705,207,575.20
  5. Step 5: Solve for x
    x = 2,705,207,575.20/59,694.48
  6. Step 6: Final answer
    x = 45,317.55

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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.