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Finding the Fourth Proportional to 55,132.70, 82,709.85 and 23,542.70

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Solution

The fourth proportional to 55,132.70, 82,709.85 and 23,542.70 is: 35,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,132.70 : 82,709.85 = 23,542.70 : x
  2. Step 2: Convert to fraction form
    55,132.70/82,709.85 = 23,542.70/x
  3. Step 3: Cross multiply
    55,132.70x = 82,709.85 × 23,542.70
  4. Step 4: Simplify right side
    55,132.70x = 1,947,213,185.60
  5. Step 5: Solve for x
    x = 1,947,213,185.60/55,132.70
  6. Step 6: Final answer
    x = 35,318.66

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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.