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Finding the Fourth Proportional to 31,742, 43,803.96 and 17,597

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Solution

The fourth proportional to 31,742, 43,803.96 and 17,597 is: 24,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742 : 43,803.96 = 17,597 : x
  2. Step 2: Convert to fraction form
    31,742/43,803.96 = 17,597/x
  3. Step 3: Cross multiply
    31,742x = 43,803.96 × 17,597
  4. Step 4: Simplify right side
    31,742x = 770,818,284.12
  5. Step 5: Solve for x
    x = 770,818,284.12/31,742
  6. Step 6: Final answer
    x = 24,283.86

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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.