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Finding the Fourth Proportional to 49,905, 68,868.96 and 27,549

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Solution

The fourth proportional to 49,905, 68,868.96 and 27,549 is: 38,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,905 : 68,868.96 = 27,549 : x
  2. Step 2: Convert to fraction form
    49,905/68,868.96 = 27,549/x
  3. Step 3: Cross multiply
    49,905x = 68,868.96 × 27,549
  4. Step 4: Simplify right side
    49,905x = 1,897,270,979.04
  5. Step 5: Solve for x
    x = 1,897,270,979.04/49,905
  6. Step 6: Final answer
    x = 38,017.65

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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.