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Finding the Fourth Proportional to 32,219.56, 48,337.02 and 13,753

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Solution

The fourth proportional to 32,219.56, 48,337.02 and 13,753 is: 20,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.56 : 48,337.02 = 13,753 : x
  2. Step 2: Convert to fraction form
    32,219.56/48,337.02 = 13,753/x
  3. Step 3: Cross multiply
    32,219.56x = 48,337.02 × 13,753
  4. Step 4: Simplify right side
    32,219.56x = 664,779,036.06
  5. Step 5: Solve for x
    x = 664,779,036.06/32,219.56
  6. Step 6: Final answer
    x = 20,632.78

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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.