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Finding the Fourth Proportional to 51,103.88, 76,656.51 and 16,043.54

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Solution

The fourth proportional to 51,103.88, 76,656.51 and 16,043.54 is: 24,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,103.88 : 76,656.51 = 16,043.54 : x
  2. Step 2: Convert to fraction form
    51,103.88/76,656.51 = 16,043.54/x
  3. Step 3: Cross multiply
    51,103.88x = 76,656.51 × 16,043.54
  4. Step 4: Simplify right side
    51,103.88x = 1,229,841,320.95
  5. Step 5: Solve for x
    x = 1,229,841,320.95/51,103.88
  6. Step 6: Final answer
    x = 24,065.52

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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.