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Finding the Fourth Proportional to 82,581.80, 113,959.50 and 44,855.24

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Solution

The fourth proportional to 82,581.80, 113,959.50 and 44,855.24 is: 61,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,581.80 : 113,959.50 = 44,855.24 : x
  2. Step 2: Convert to fraction form
    82,581.80/113,959.50 = 44,855.24/x
  3. Step 3: Cross multiply
    82,581.80x = 113,959.50 × 44,855.24
  4. Step 4: Simplify right side
    82,581.80x = 5,111,680,722.78
  5. Step 5: Solve for x
    x = 5,111,680,722.78/82,581.80
  6. Step 6: Final answer
    x = 61,898.39

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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.