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Finding the Fourth Proportional to 59,909.20, 82,648.32 and 36,022

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Solution

The fourth proportional to 59,909.20, 82,648.32 and 36,022 is: 49,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,909.20 : 82,648.32 = 36,022 : x
  2. Step 2: Convert to fraction form
    59,909.20/82,648.32 = 36,022/x
  3. Step 3: Cross multiply
    59,909.20x = 82,648.32 × 36,022
  4. Step 4: Simplify right side
    59,909.20x = 2,977,157,783.04
  5. Step 5: Solve for x
    x = 2,977,157,783.04/59,909.20
  6. Step 6: Final answer
    x = 49,694.50

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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.