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Finding the Fourth Proportional to 52,758.92, 79,129.82 and 19,494.65

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Solution

The fourth proportional to 52,758.92, 79,129.82 and 19,494.65 is: 29,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758.92 : 79,129.82 = 19,494.65 : x
  2. Step 2: Convert to fraction form
    52,758.92/79,129.82 = 19,494.65/x
  3. Step 3: Cross multiply
    52,758.92x = 79,129.82 × 19,494.65
  4. Step 4: Simplify right side
    52,758.92x = 1,542,607,798.55
  5. Step 5: Solve for x
    x = 1,542,607,798.55/52,758.92
  6. Step 6: Final answer
    x = 29,238.81

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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.