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Finding the Fourth Proportional to 36,478.62, 54,694.85 and 15,407.82

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Solution

The fourth proportional to 36,478.62, 54,694.85 and 15,407.82 is: 23,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.62 : 54,694.85 = 15,407.82 : x
  2. Step 2: Convert to fraction form
    36,478.62/54,694.85 = 15,407.82/x
  3. Step 3: Cross multiply
    36,478.62x = 54,694.85 × 15,407.82
  4. Step 4: Simplify right side
    36,478.62x = 842,728,326.69
  5. Step 5: Solve for x
    x = 842,728,326.69/36,478.62
  6. Step 6: Final answer
    x = 23,101.98

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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.