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Finding the Fourth Proportional to 48,750, 67,275 and 26,394

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Solution

The fourth proportional to 48,750, 67,275 and 26,394 is: 36,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,750 : 67,275 = 26,394 : x
  2. Step 2: Convert to fraction form
    48,750/67,275 = 26,394/x
  3. Step 3: Cross multiply
    48,750x = 67,275 × 26,394
  4. Step 4: Simplify right side
    48,750x = 1,775,656,350
  5. Step 5: Solve for x
    x = 1,775,656,350/48,750
  6. Step 6: Final answer
    x = 36,423.72

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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.