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Finding the Fourth Proportional to 52,761.72, 79,143.59 and 19,464.65

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Solution

The fourth proportional to 52,761.72, 79,143.59 and 19,464.65 is: 29,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761.72 : 79,143.59 = 19,464.65 : x
  2. Step 2: Convert to fraction form
    52,761.72/79,143.59 = 19,464.65/x
  3. Step 3: Cross multiply
    52,761.72x = 79,143.59 × 19,464.65
  4. Step 4: Simplify right side
    52,761.72x = 1,540,501,932.04
  5. Step 5: Solve for x
    x = 1,540,501,932.04/52,761.72
  6. Step 6: Final answer
    x = 29,197.34

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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.