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Finding the Fourth Proportional to 82,417.68, 113,736.04 and 44,691.92

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Solution

The fourth proportional to 82,417.68, 113,736.04 and 44,691.92 is: 61,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,417.68 : 113,736.04 = 44,691.92 : x
  2. Step 2: Convert to fraction form
    82,417.68/113,736.04 = 44,691.92/x
  3. Step 3: Cross multiply
    82,417.68x = 113,736.04 × 44,691.92
  4. Step 4: Simplify right side
    82,417.68x = 5,083,082,000.80
  5. Step 5: Solve for x
    x = 5,083,082,000.80/82,417.68
  6. Step 6: Final answer
    x = 61,674.66

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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.