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Finding the Fourth Proportional to 48,506.98, 72,760.43 and 15,229.65

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Solution

The fourth proportional to 48,506.98, 72,760.43 and 15,229.65 is: 22,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,506.98 : 72,760.43 = 15,229.65 : x
  2. Step 2: Convert to fraction form
    48,506.98/72,760.43 = 15,229.65/x
  3. Step 3: Cross multiply
    48,506.98x = 72,760.43 × 15,229.65
  4. Step 4: Simplify right side
    48,506.98x = 1,108,115,494.09
  5. Step 5: Solve for x
    x = 1,108,115,494.09/48,506.98
  6. Step 6: Final answer
    x = 22,844.46

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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.