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Finding the Fourth Proportional to 82,624.80, 123,993.36 and 54,484.32

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Solution

The fourth proportional to 82,624.80, 123,993.36 and 54,484.32 is: 81,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,624.80 : 123,993.36 = 54,484.32 : x
  2. Step 2: Convert to fraction form
    82,624.80/123,993.36 = 54,484.32/x
  3. Step 3: Cross multiply
    82,624.80x = 123,993.36 × 54,484.32
  4. Step 4: Simplify right side
    82,624.80x = 6,755,693,904.12
  5. Step 5: Solve for x
    x = 6,755,693,904.12/82,624.80
  6. Step 6: Final answer
    x = 81,763.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.