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Finding the Fourth Proportional to 49,156.84, 67,832.40 and 27,645.40

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Solution

The fourth proportional to 49,156.84, 67,832.40 and 27,645.40 is: 38,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,156.84 : 67,832.40 = 27,645.40 : x
  2. Step 2: Convert to fraction form
    49,156.84/67,832.40 = 27,645.40/x
  3. Step 3: Cross multiply
    49,156.84x = 67,832.40 × 27,645.40
  4. Step 4: Simplify right side
    49,156.84x = 1,875,253,830.96
  5. Step 5: Solve for x
    x = 1,875,253,830.96/49,156.84
  6. Step 6: Final answer
    x = 38,148.38

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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.