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Finding the Fourth Proportional to 80,259.60, 120,463.38 and 40,845

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Solution

The fourth proportional to 80,259.60, 120,463.38 and 40,845 is: 61,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,259.60 : 120,463.38 = 40,845 : x
  2. Step 2: Convert to fraction form
    80,259.60/120,463.38 = 40,845/x
  3. Step 3: Cross multiply
    80,259.60x = 120,463.38 × 40,845
  4. Step 4: Simplify right side
    80,259.60x = 4,920,326,756.10
  5. Step 5: Solve for x
    x = 4,920,326,756.10/80,259.60
  6. Step 6: Final answer
    x = 61,305.15

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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.