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Finding the Fourth Proportional to 77,782.88, 116,676 and 27,866.24

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Solution

The fourth proportional to 77,782.88, 116,676 and 27,866.24 is: 41,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.88 : 116,676 = 27,866.24 : x
  2. Step 2: Convert to fraction form
    77,782.88/116,676 = 27,866.24/x
  3. Step 3: Cross multiply
    77,782.88x = 116,676 × 27,866.24
  4. Step 4: Simplify right side
    77,782.88x = 3,251,321,418.24
  5. Step 5: Solve for x
    x = 3,251,321,418.24/77,782.88
  6. Step 6: Final answer
    x = 41,799.96

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1.5x scale

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.