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Finding the Fourth Proportional to 31,242.25, 43,114.31 and 17,095.20

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Solution

The fourth proportional to 31,242.25, 43,114.31 and 17,095.20 is: 23,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.25 : 43,114.31 = 17,095.20 : x
  2. Step 2: Convert to fraction form
    31,242.25/43,114.31 = 17,095.20/x
  3. Step 3: Cross multiply
    31,242.25x = 43,114.31 × 17,095.20
  4. Step 4: Simplify right side
    31,242.25x = 737,047,752.31
  5. Step 5: Solve for x
    x = 737,047,752.31/31,242.25
  6. Step 6: Final answer
    x = 23,591.38

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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.