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Finding the Fourth Proportional to 82,469.52, 113,807.88 and 44,743.68

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Solution

The fourth proportional to 82,469.52, 113,807.88 and 44,743.68 is: 61,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469.52 : 113,807.88 = 44,743.68 : x
  2. Step 2: Convert to fraction form
    82,469.52/113,807.88 = 44,743.68/x
  3. Step 3: Cross multiply
    82,469.52x = 113,807.88 × 44,743.68
  4. Step 4: Simplify right side
    82,469.52x = 5,092,183,364.20
  5. Step 5: Solve for x
    x = 5,092,183,364.20/82,469.52
  6. Step 6: Final answer
    x = 61,746.25

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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.