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Finding the Fourth Proportional to 29,781.56, 41,098.61 and 17,206.32

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Solution

The fourth proportional to 29,781.56, 41,098.61 and 17,206.32 is: 23,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.56 : 41,098.61 = 17,206.32 : x
  2. Step 2: Convert to fraction form
    29,781.56/41,098.61 = 17,206.32/x
  3. Step 3: Cross multiply
    29,781.56x = 41,098.61 × 17,206.32
  4. Step 4: Simplify right side
    29,781.56x = 707,155,835.22
  5. Step 5: Solve for x
    x = 707,155,835.22/29,781.56
  6. Step 6: Final answer
    x = 23,744.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.