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Finding the Fourth Proportional to 57,947, 79,966.86 and 31,451

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Solution

The fourth proportional to 57,947, 79,966.86 and 31,451 is: 43,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,947 : 79,966.86 = 31,451 : x
  2. Step 2: Convert to fraction form
    57,947/79,966.86 = 31,451/x
  3. Step 3: Cross multiply
    57,947x = 79,966.86 × 31,451
  4. Step 4: Simplify right side
    57,947x = 2,515,037,713.86
  5. Step 5: Solve for x
    x = 2,515,037,713.86/57,947
  6. Step 6: Final answer
    x = 43,402.38

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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.