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Finding the Fourth Proportional to 41,149.52, 61,724 and 11,567.16

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Solution

The fourth proportional to 41,149.52, 61,724 and 11,567.16 is: 17,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,149.52 : 61,724 = 11,567.16 : x
  2. Step 2: Convert to fraction form
    41,149.52/61,724 = 11,567.16/x
  3. Step 3: Cross multiply
    41,149.52x = 61,724 × 11,567.16
  4. Step 4: Simplify right side
    41,149.52x = 713,971,383.84
  5. Step 5: Solve for x
    x = 713,971,383.84/41,149.52
  6. Step 6: Final answer
    x = 17,350.66

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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.