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Finding the Fourth Proportional to 83,354, 125,031 and 24,986

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Solution

The fourth proportional to 83,354, 125,031 and 24,986 is: 37,479

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354 : 125,031 = 24,986 : x
  2. Step 2: Convert to fraction form
    83,354/125,031 = 24,986/x
  3. Step 3: Cross multiply
    83,354x = 125,031 × 24,986
  4. Step 4: Simplify right side
    83,354x = 3,124,024,566
  5. Step 5: Solve for x
    x = 3,124,024,566/83,354
  6. Step 6: Final answer
    x = 37,479

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.