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Finding the Fourth Proportional to 55,295.92, 82,978.28 and 22,463.92

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Solution

The fourth proportional to 55,295.92, 82,978.28 and 22,463.92 is: 33,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,295.92 : 82,978.28 = 22,463.92 : x
  2. Step 2: Convert to fraction form
    55,295.92/82,978.28 = 22,463.92/x
  3. Step 3: Cross multiply
    55,295.92x = 82,978.28 × 22,463.92
  4. Step 4: Simplify right side
    55,295.92x = 1,864,017,443.66
  5. Step 5: Solve for x
    x = 1,864,017,443.66/55,295.92
  6. Step 6: Final answer
    x = 33,709.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.