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Finding the Fourth Proportional to 32,270.60, 48,412.02 and 11,209.82

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Solution

The fourth proportional to 32,270.60, 48,412.02 and 11,209.82 is: 16,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.60 : 48,412.02 = 11,209.82 : x
  2. Step 2: Convert to fraction form
    32,270.60/48,412.02 = 11,209.82/x
  3. Step 3: Cross multiply
    32,270.60x = 48,412.02 × 11,209.82
  4. Step 4: Simplify right side
    32,270.60x = 542,690,030.04
  5. Step 5: Solve for x
    x = 542,690,030.04/32,270.60
  6. Step 6: Final answer
    x = 16,816.86

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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.