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Finding the Fourth Proportional to 32,209.60, 48,323.52 and 11,435.20

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Solution

The fourth proportional to 32,209.60, 48,323.52 and 11,435.20 is: 17,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.60 : 48,323.52 = 11,435.20 : x
  2. Step 2: Convert to fraction form
    32,209.60/48,323.52 = 11,435.20/x
  3. Step 3: Cross multiply
    32,209.60x = 48,323.52 × 11,435.20
  4. Step 4: Simplify right side
    32,209.60x = 552,589,115.90
  5. Step 5: Solve for x
    x = 552,589,115.90/32,209.60
  6. Step 6: Final answer
    x = 17,156.04

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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.