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Finding the Fourth Proportional to 54,581.32, 81,820.86 and 49,711.96

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Solution

The fourth proportional to 54,581.32, 81,820.86 and 49,711.96 is: 74,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,581.32 : 81,820.86 = 49,711.96 : x
  2. Step 2: Convert to fraction form
    54,581.32/81,820.86 = 49,711.96/x
  3. Step 3: Cross multiply
    54,581.32x = 81,820.86 × 49,711.96
  4. Step 4: Simplify right side
    54,581.32x = 4,067,475,319.49
  5. Step 5: Solve for x
    x = 4,067,475,319.49/54,581.32
  6. Step 6: Final answer
    x = 74,521.38

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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.