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Finding the Fourth Proportional to 32,616.12, 48,911.42 and 11,548.02

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Solution

The fourth proportional to 32,616.12, 48,911.42 and 11,548.02 is: 17,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.12 : 48,911.42 = 11,548.02 : x
  2. Step 2: Convert to fraction form
    32,616.12/48,911.42 = 11,548.02/x
  3. Step 3: Cross multiply
    32,616.12x = 48,911.42 × 11,548.02
  4. Step 4: Simplify right side
    32,616.12x = 564,829,998.65
  5. Step 5: Solve for x
    x = 564,829,998.65/32,616.12
  6. Step 6: Final answer
    x = 17,317.51

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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.