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Finding the Fourth Proportional to 49,192.38, 67,885.49 and 27,972.95

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Solution

The fourth proportional to 49,192.38, 67,885.49 and 27,972.95 is: 38,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192.38 : 67,885.49 = 27,972.95 : x
  2. Step 2: Convert to fraction form
    49,192.38/67,885.49 = 27,972.95/x
  3. Step 3: Cross multiply
    49,192.38x = 67,885.49 × 27,972.95
  4. Step 4: Simplify right side
    49,192.38x = 1,898,957,148.00
  5. Step 5: Solve for x
    x = 1,898,957,148.00/49,192.38
  6. Step 6: Final answer
    x = 38,602.67

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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.