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Finding the Fourth Proportional to 80,503.20, 120,610.80 and 38,858.40

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Solution

The fourth proportional to 80,503.20, 120,610.80 and 38,858.40 is: 58,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,503.20 : 120,610.80 = 38,858.40 : x
  2. Step 2: Convert to fraction form
    80,503.20/120,610.80 = 38,858.40/x
  3. Step 3: Cross multiply
    80,503.20x = 120,610.80 × 38,858.40
  4. Step 4: Simplify right side
    80,503.20x = 4,686,742,710.72
  5. Step 5: Solve for x
    x = 4,686,742,710.72/80,503.20
  6. Step 6: Final answer
    x = 58,218.09

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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.