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Finding the Fourth Proportional to 49,109.47, 67,772.02 and 27,888.82

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Solution

The fourth proportional to 49,109.47, 67,772.02 and 27,888.82 is: 38,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,109.47 : 67,772.02 = 27,888.82 : x
  2. Step 2: Convert to fraction form
    49,109.47/67,772.02 = 27,888.82/x
  3. Step 3: Cross multiply
    49,109.47x = 67,772.02 × 27,888.82
  4. Step 4: Simplify right side
    49,109.47x = 1,890,081,327.96
  5. Step 5: Solve for x
    x = 1,890,081,327.96/49,109.47
  6. Step 6: Final answer
    x = 38,487.11

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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.