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Finding the Fourth Proportional to 31,292.25, 43,186.92 and 17,865.42

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Solution

The fourth proportional to 31,292.25, 43,186.92 and 17,865.42 is: 24,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.25 : 43,186.92 = 17,865.42 : x
  2. Step 2: Convert to fraction form
    31,292.25/43,186.92 = 17,865.42/x
  3. Step 3: Cross multiply
    31,292.25x = 43,186.92 × 17,865.42
  4. Step 4: Simplify right side
    31,292.25x = 771,552,464.31
  5. Step 5: Solve for x
    x = 771,552,464.31/31,292.25
  6. Step 6: Final answer
    x = 24,656.34

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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.