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Finding the Fourth Proportional to 48,865.78, 73,305.65 and 15,586.22

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Solution

The fourth proportional to 48,865.78, 73,305.65 and 15,586.22 is: 23,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,865.78 : 73,305.65 = 15,586.22 : x
  2. Step 2: Convert to fraction form
    48,865.78/73,305.65 = 15,586.22/x
  3. Step 3: Cross multiply
    48,865.78x = 73,305.65 × 15,586.22
  4. Step 4: Simplify right side
    48,865.78x = 1,142,557,804.88
  5. Step 5: Solve for x
    x = 1,142,557,804.88/48,865.78
  6. Step 6: Final answer
    x = 23,381.55

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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.