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Finding the Fourth Proportional to 32,273.32, 48,399.06 and 12,278.06

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Solution

The fourth proportional to 32,273.32, 48,399.06 and 12,278.06 is: 18,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,273.32 : 48,399.06 = 12,278.06 : x
  2. Step 2: Convert to fraction form
    32,273.32/48,399.06 = 12,278.06/x
  3. Step 3: Cross multiply
    32,273.32x = 48,399.06 × 12,278.06
  4. Step 4: Simplify right side
    32,273.32x = 594,246,562.62
  5. Step 5: Solve for x
    x = 594,246,562.62/32,273.32
  6. Step 6: Final answer
    x = 18,412.94

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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.