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Finding the Fourth Proportional to 73,588.40, 110,269.20 and 54,780.20

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Solution

The fourth proportional to 73,588.40, 110,269.20 and 54,780.20 is: 82,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,588.40 : 110,269.20 = 54,780.20 : x
  2. Step 2: Convert to fraction form
    73,588.40/110,269.20 = 54,780.20/x
  3. Step 3: Cross multiply
    73,588.40x = 110,269.20 × 54,780.20
  4. Step 4: Simplify right side
    73,588.40x = 6,040,568,829.84
  5. Step 5: Solve for x
    x = 6,040,568,829.84/73,588.40
  6. Step 6: Final answer
    x = 82,085.88

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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.