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Finding the Fourth Proportional to 32,278.38, 48,406.68 and 12,283.12

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Solution

The fourth proportional to 32,278.38, 48,406.68 and 12,283.12 is: 18,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.38 : 48,406.68 = 12,283.12 : x
  2. Step 2: Convert to fraction form
    32,278.38/48,406.68 = 12,283.12/x
  3. Step 3: Cross multiply
    32,278.38x = 48,406.68 × 12,283.12
  4. Step 4: Simplify right side
    32,278.38x = 594,584,997.83
  5. Step 5: Solve for x
    x = 594,584,997.83/32,278.38
  6. Step 6: Final answer
    x = 18,420.54

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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.