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Finding the Fourth Proportional to 48,817.46, 67,371 and 27,598.70

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Solution

The fourth proportional to 48,817.46, 67,371 and 27,598.70 is: 38,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,817.46 : 67,371 = 27,598.70 : x
  2. Step 2: Convert to fraction form
    48,817.46/67,371 = 27,598.70/x
  3. Step 3: Cross multiply
    48,817.46x = 67,371 × 27,598.70
  4. Step 4: Simplify right side
    48,817.46x = 1,859,352,017.70
  5. Step 5: Solve for x
    x = 1,859,352,017.70/48,817.46
  6. Step 6: Final answer
    x = 38,087.85

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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.