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Finding the Fourth Proportional to 32,443.20, 48,661.56 and 9,069.84

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Solution

The fourth proportional to 32,443.20, 48,661.56 and 9,069.84 is: 13,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.20 : 48,661.56 = 9,069.84 : x
  2. Step 2: Convert to fraction form
    32,443.20/48,661.56 = 9,069.84/x
  3. Step 3: Cross multiply
    32,443.20x = 48,661.56 × 9,069.84
  4. Step 4: Simplify right side
    32,443.20x = 441,352,563.35
  5. Step 5: Solve for x
    x = 441,352,563.35/32,443.20
  6. Step 6: Final answer
    x = 13,603.85

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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.