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Finding the Fourth Proportional to 31,242.38, 43,114.48 and 17,095.22

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Solution

The fourth proportional to 31,242.38, 43,114.48 and 17,095.22 is: 23,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.38 : 43,114.48 = 17,095.22 : x
  2. Step 2: Convert to fraction form
    31,242.38/43,114.48 = 17,095.22/x
  3. Step 3: Cross multiply
    31,242.38x = 43,114.48 × 17,095.22
  4. Step 4: Simplify right side
    31,242.38x = 737,051,424.15
  5. Step 5: Solve for x
    x = 737,051,424.15/31,242.38
  6. Step 6: Final answer
    x = 23,591.40

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Why These Related Problems?

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