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Finding the Fourth Proportional to 48,897.45, 67,478.70 and 27,680.82

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Solution

The fourth proportional to 48,897.45, 67,478.70 and 27,680.82 is: 38,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897.45 : 67,478.70 = 27,680.82 : x
  2. Step 2: Convert to fraction form
    48,897.45/67,478.70 = 27,680.82/x
  3. Step 3: Cross multiply
    48,897.45x = 67,478.70 × 27,680.82
  4. Step 4: Simplify right side
    48,897.45x = 1,867,865,748.53
  5. Step 5: Solve for x
    x = 1,867,865,748.53/48,897.45
  6. Step 6: Final answer
    x = 38,199.66

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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.