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Finding the Fourth Proportional to 55,142.56, 82,603.68 and 25,520.32

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Solution

The fourth proportional to 55,142.56, 82,603.68 and 25,520.32 is: 38,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.56 : 82,603.68 = 25,520.32 : x
  2. Step 2: Convert to fraction form
    55,142.56/82,603.68 = 25,520.32/x
  3. Step 3: Cross multiply
    55,142.56x = 82,603.68 × 25,520.32
  4. Step 4: Simplify right side
    55,142.56x = 2,108,072,346.78
  5. Step 5: Solve for x
    x = 2,108,072,346.78/55,142.56
  6. Step 6: Final answer
    x = 38,229.50

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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.