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Finding the Fourth Proportional to 48,756, 67,283.28 and 26,400

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Solution

The fourth proportional to 48,756, 67,283.28 and 26,400 is: 36,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,756 : 67,283.28 = 26,400 : x
  2. Step 2: Convert to fraction form
    48,756/67,283.28 = 26,400/x
  3. Step 3: Cross multiply
    48,756x = 67,283.28 × 26,400
  4. Step 4: Simplify right side
    48,756x = 1,776,278,592
  5. Step 5: Solve for x
    x = 1,776,278,592/48,756
  6. Step 6: Final answer
    x = 36,432

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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.