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Finding the Fourth Proportional to 48,576.57, 72,865.77 and 15,297.72

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Solution

The fourth proportional to 48,576.57, 72,865.77 and 15,297.72 is: 22,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,576.57 : 72,865.77 = 15,297.72 : x
  2. Step 2: Convert to fraction form
    48,576.57/72,865.77 = 15,297.72/x
  3. Step 3: Cross multiply
    48,576.57x = 72,865.77 × 15,297.72
  4. Step 4: Simplify right side
    48,576.57x = 1,114,680,147.04
  5. Step 5: Solve for x
    x = 1,114,680,147.04/48,576.57
  6. Step 6: Final answer
    x = 22,946.87

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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.