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Finding the Fourth Proportional to 51,855.52, 77,789.04 and 16,788.64

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Solution

The fourth proportional to 51,855.52, 77,789.04 and 16,788.64 is: 25,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.52 : 77,789.04 = 16,788.64 : x
  2. Step 2: Convert to fraction form
    51,855.52/77,789.04 = 16,788.64/x
  3. Step 3: Cross multiply
    51,855.52x = 77,789.04 × 16,788.64
  4. Step 4: Simplify right side
    51,855.52x = 1,305,972,188.51
  5. Step 5: Solve for x
    x = 1,305,972,188.51/51,855.52
  6. Step 6: Final answer
    x = 25,184.82

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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.