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Finding the Fourth Proportional to 67,246.20, 100,782.90 and 27,830.52

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Solution

The fourth proportional to 67,246.20, 100,782.90 and 27,830.52 is: 41,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,246.20 : 100,782.90 = 27,830.52 : x
  2. Step 2: Convert to fraction form
    67,246.20/100,782.90 = 27,830.52/x
  3. Step 3: Cross multiply
    67,246.20x = 100,782.90 × 27,830.52
  4. Step 4: Simplify right side
    67,246.20x = 2,804,840,514.11
  5. Step 5: Solve for x
    x = 2,804,840,514.11/67,246.20
  6. Step 6: Final answer
    x = 41,710.02

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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.