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Finding the Fourth Proportional to 51,507.50, 77,248.76 and 14,067.74

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Solution

The fourth proportional to 51,507.50, 77,248.76 and 14,067.74 is: 21,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,507.50 : 77,248.76 = 14,067.74 : x
  2. Step 2: Convert to fraction form
    51,507.50/77,248.76 = 14,067.74/x
  3. Step 3: Cross multiply
    51,507.50x = 77,248.76 × 14,067.74
  4. Step 4: Simplify right side
    51,507.50x = 1,086,715,593.79
  5. Step 5: Solve for x
    x = 1,086,715,593.79/51,507.50
  6. Step 6: Final answer
    x = 21,098.20

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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.