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Finding the Fourth Proportional to 32,845.98, 49,261.68 and 9,474.24

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Solution

The fourth proportional to 32,845.98, 49,261.68 and 9,474.24 is: 14,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,845.98 : 49,261.68 = 9,474.24 : x
  2. Step 2: Convert to fraction form
    32,845.98/49,261.68 = 9,474.24/x
  3. Step 3: Cross multiply
    32,845.98x = 49,261.68 × 9,474.24
  4. Step 4: Simplify right side
    32,845.98x = 466,716,979.12
  5. Step 5: Solve for x
    x = 466,716,979.12/32,845.98
  6. Step 6: Final answer
    x = 14,209.26

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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.