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Finding the Fourth Proportional to 49,424.40, 68,204.18 and 27,915

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Solution

The fourth proportional to 49,424.40, 68,204.18 and 27,915 is: 38,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424.40 : 68,204.18 = 27,915 : x
  2. Step 2: Convert to fraction form
    49,424.40/68,204.18 = 27,915/x
  3. Step 3: Cross multiply
    49,424.40x = 68,204.18 × 27,915
  4. Step 4: Simplify right side
    49,424.40x = 1,903,919,545.13
  5. Step 5: Solve for x
    x = 1,903,919,545.13/49,424.40
  6. Step 6: Final answer
    x = 38,521.85

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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.