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Finding the Fourth Proportional to 29,849.16, 41,178.03 and 17,891.75

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Solution

The fourth proportional to 29,849.16, 41,178.03 and 17,891.75 is: 24,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.16 : 41,178.03 = 17,891.75 : x
  2. Step 2: Convert to fraction form
    29,849.16/41,178.03 = 17,891.75/x
  3. Step 3: Cross multiply
    29,849.16x = 41,178.03 × 17,891.75
  4. Step 4: Simplify right side
    29,849.16x = 736,746,812.36
  5. Step 5: Solve for x
    x = 736,746,812.36/29,849.16
  6. Step 6: Final answer
    x = 24,682.33

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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.