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Finding the Fourth Proportional to 27,640.49, 38,143.89 and 15,703.85

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Solution

The fourth proportional to 27,640.49, 38,143.89 and 15,703.85 is: 21,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.49 : 38,143.89 = 15,703.85 : x
  2. Step 2: Convert to fraction form
    27,640.49/38,143.89 = 15,703.85/x
  3. Step 3: Cross multiply
    27,640.49x = 38,143.89 × 15,703.85
  4. Step 4: Simplify right side
    27,640.49x = 599,005,926.98
  5. Step 5: Solve for x
    x = 599,005,926.98/27,640.49
  6. Step 6: Final answer
    x = 21,671.32

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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.