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Finding the Fourth Proportional to 82,531.76, 113,895.22 and 44,806

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Solution

The fourth proportional to 82,531.76, 113,895.22 and 44,806 is: 61,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,531.76 : 113,895.22 = 44,806 : x
  2. Step 2: Convert to fraction form
    82,531.76/113,895.22 = 44,806/x
  3. Step 3: Cross multiply
    82,531.76x = 113,895.22 × 44,806
  4. Step 4: Simplify right side
    82,531.76x = 5,103,189,227.32
  5. Step 5: Solve for x
    x = 5,103,189,227.32/82,531.76
  6. Step 6: Final answer
    x = 61,833.04

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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.