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Finding the Fourth Proportional to 80,352, 120,371.10 and 38,172.04

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Solution

The fourth proportional to 80,352, 120,371.10 and 38,172.04 is: 57,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352 : 120,371.10 = 38,172.04 : x
  2. Step 2: Convert to fraction form
    80,352/120,371.10 = 38,172.04/x
  3. Step 3: Cross multiply
    80,352x = 120,371.10 × 38,172.04
  4. Step 4: Simplify right side
    80,352x = 4,594,810,444.04
  5. Step 5: Solve for x
    x = 4,594,810,444.04/80,352
  6. Step 6: Final answer
    x = 57,183.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.