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Finding the Fourth Proportional to 82,209.76, 113,449.46 and 44,484

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Solution

The fourth proportional to 82,209.76, 113,449.46 and 44,484 is: 61,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,209.76 : 113,449.46 = 44,484 : x
  2. Step 2: Convert to fraction form
    82,209.76/113,449.46 = 44,484/x
  3. Step 3: Cross multiply
    82,209.76x = 113,449.46 × 44,484
  4. Step 4: Simplify right side
    82,209.76x = 5,046,685,778.64
  5. Step 5: Solve for x
    x = 5,046,685,778.64/82,209.76
  6. Step 6: Final answer
    x = 61,387.92

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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.