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Finding the Fourth Proportional to 49,770.84, 68,683.85 and 27,109.76

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Solution

The fourth proportional to 49,770.84, 68,683.85 and 27,109.76 is: 37,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770.84 : 68,683.85 = 27,109.76 : x
  2. Step 2: Convert to fraction form
    49,770.84/68,683.85 = 27,109.76/x
  3. Step 3: Cross multiply
    49,770.84x = 68,683.85 × 27,109.76
  4. Step 4: Simplify right side
    49,770.84x = 1,862,002,689.38
  5. Step 5: Solve for x
    x = 1,862,002,689.38/49,770.84
  6. Step 6: Final answer
    x = 37,411.52

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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.