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Finding the Fourth Proportional to 55,139.20, 82,708.80 and 49,148.80

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Solution

The fourth proportional to 55,139.20, 82,708.80 and 49,148.80 is: 73,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,139.20 : 82,708.80 = 49,148.80 : x
  2. Step 2: Convert to fraction form
    55,139.20/82,708.80 = 49,148.80/x
  3. Step 3: Cross multiply
    55,139.20x = 82,708.80 × 49,148.80
  4. Step 4: Simplify right side
    55,139.20x = 4,065,038,269.44
  5. Step 5: Solve for x
    x = 4,065,038,269.44/55,139.20
  6. Step 6: Final answer
    x = 73,723.20

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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.