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Finding the Fourth Proportional to 29,824.70, 41,158.16 and 17,078.08

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Solution

The fourth proportional to 29,824.70, 41,158.16 and 17,078.08 is: 23,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.70 : 41,158.16 = 17,078.08 : x
  2. Step 2: Convert to fraction form
    29,824.70/41,158.16 = 17,078.08/x
  3. Step 3: Cross multiply
    29,824.70x = 41,158.16 × 17,078.08
  4. Step 4: Simplify right side
    29,824.70x = 702,902,349.13
  5. Step 5: Solve for x
    x = 702,902,349.13/29,824.70
  6. Step 6: Final answer
    x = 23,567.79

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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.