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Finding the Fourth Proportional to 82,223.62, 113,468.94 and 44,497.86

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Solution

The fourth proportional to 82,223.62, 113,468.94 and 44,497.86 is: 61,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.62 : 113,468.94 = 44,497.86 : x
  2. Step 2: Convert to fraction form
    82,223.62/113,468.94 = 44,497.86/x
  3. Step 3: Cross multiply
    82,223.62x = 113,468.94 × 44,497.86
  4. Step 4: Simplify right side
    82,223.62x = 5,049,125,006.47
  5. Step 5: Solve for x
    x = 5,049,125,006.47/82,223.62
  6. Step 6: Final answer
    x = 61,407.23

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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.