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Finding the Fourth Proportional to 57,742, 79,684 and 31,246

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Solution

The fourth proportional to 57,742, 79,684 and 31,246 is: 43,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742 : 79,684 = 31,246 : x
  2. Step 2: Convert to fraction form
    57,742/79,684 = 31,246/x
  3. Step 3: Cross multiply
    57,742x = 79,684 × 31,246
  4. Step 4: Simplify right side
    57,742x = 2,489,806,264
  5. Step 5: Solve for x
    x = 2,489,806,264/57,742
  6. Step 6: Final answer
    x = 43,119.50

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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.