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Finding the Fourth Proportional to 52,782.57, 79,174.37 and 42,226.37

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Solution

The fourth proportional to 52,782.57, 79,174.37 and 42,226.37 is: 63,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782.57 : 79,174.37 = 42,226.37 : x
  2. Step 2: Convert to fraction form
    52,782.57/79,174.37 = 42,226.37/x
  3. Step 3: Cross multiply
    52,782.57x = 79,174.37 × 42,226.37
  4. Step 4: Simplify right side
    52,782.57x = 3,343,246,248.73
  5. Step 5: Solve for x
    x = 3,343,246,248.73/52,782.57
  6. Step 6: Final answer
    x = 63,339.96

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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.