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Finding the Fourth Proportional to 51,493.88, 77,251.86 and 15,954.42

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Solution

The fourth proportional to 51,493.88, 77,251.86 and 15,954.42 is: 23,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.88 : 77,251.86 = 15,954.42 : x
  2. Step 2: Convert to fraction form
    51,493.88/77,251.86 = 15,954.42/x
  3. Step 3: Cross multiply
    51,493.88x = 77,251.86 × 15,954.42
  4. Step 4: Simplify right side
    51,493.88x = 1,232,508,294.26
  5. Step 5: Solve for x
    x = 1,232,508,294.26/51,493.88
  6. Step 6: Final answer
    x = 23,935.04

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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.