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Finding the Fourth Proportional to 48,803.60, 73,229.70 and 27,759.80

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Solution

The fourth proportional to 48,803.60, 73,229.70 and 27,759.80 is: 41,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803.60 : 73,229.70 = 27,759.80 : x
  2. Step 2: Convert to fraction form
    48,803.60/73,229.70 = 27,759.80/x
  3. Step 3: Cross multiply
    48,803.60x = 73,229.70 × 27,759.80
  4. Step 4: Simplify right side
    48,803.60x = 2,032,841,826.06
  5. Step 5: Solve for x
    x = 2,032,841,826.06/48,803.60
  6. Step 6: Final answer
    x = 41,653.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.