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Finding the Fourth Proportional to 29,781.25, 41,098.77 and 17,035.58

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Solution

The fourth proportional to 29,781.25, 41,098.77 and 17,035.58 is: 23,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.25 : 41,098.77 = 17,035.58 : x
  2. Step 2: Convert to fraction form
    29,781.25/41,098.77 = 17,035.58/x
  3. Step 3: Cross multiply
    29,781.25x = 41,098.77 × 17,035.58
  4. Step 4: Simplify right side
    29,781.25x = 700,141,384.24
  5. Step 5: Solve for x
    x = 700,141,384.24/29,781.25
  6. Step 6: Final answer
    x = 23,509.47

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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.