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Finding the Fourth Proportional to 49,005.60, 67,620.78 and 27,780.78

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Solution

The fourth proportional to 49,005.60, 67,620.78 and 27,780.78 is: 38,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005.60 : 67,620.78 = 27,780.78 : x
  2. Step 2: Convert to fraction form
    49,005.60/67,620.78 = 27,780.78/x
  3. Step 3: Cross multiply
    49,005.60x = 67,620.78 × 27,780.78
  4. Step 4: Simplify right side
    49,005.60x = 1,878,558,012.61
  5. Step 5: Solve for x
    x = 1,878,558,012.61/49,005.60
  6. Step 6: Final answer
    x = 38,333.54

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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.