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Finding the Fourth Proportional to 29,693.38, 40,975.66 and 17,763.31

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Solution

The fourth proportional to 29,693.38, 40,975.66 and 17,763.31 is: 24,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.38 : 40,975.66 = 17,763.31 : x
  2. Step 2: Convert to fraction form
    29,693.38/40,975.66 = 17,763.31/x
  3. Step 3: Cross multiply
    29,693.38x = 40,975.66 × 17,763.31
  4. Step 4: Simplify right side
    29,693.38x = 727,863,351.03
  5. Step 5: Solve for x
    x = 727,863,351.03/29,693.38
  6. Step 6: Final answer
    x = 24,512.65

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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.