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Finding the Fourth Proportional to 80,432.88, 120,646.27 and 24,271.50

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Solution

The fourth proportional to 80,432.88, 120,646.27 and 24,271.50 is: 36,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,432.88 : 120,646.27 = 24,271.50 : x
  2. Step 2: Convert to fraction form
    80,432.88/120,646.27 = 24,271.50/x
  3. Step 3: Cross multiply
    80,432.88x = 120,646.27 × 24,271.50
  4. Step 4: Simplify right side
    80,432.88x = 2,928,265,942.31
  5. Step 5: Solve for x
    x = 2,928,265,942.31/80,432.88
  6. Step 6: Final answer
    x = 36,406.33

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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.