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Finding the Fourth Proportional to 45,700.48, 63,067.50 and 27,796.24

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Solution

The fourth proportional to 45,700.48, 63,067.50 and 27,796.24 is: 38,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,700.48 : 63,067.50 = 27,796.24 : x
  2. Step 2: Convert to fraction form
    45,700.48/63,067.50 = 27,796.24/x
  3. Step 3: Cross multiply
    45,700.48x = 63,067.50 × 27,796.24
  4. Step 4: Simplify right side
    45,700.48x = 1,753,039,366.20
  5. Step 5: Solve for x
    x = 1,753,039,366.20/45,700.48
  6. Step 6: Final answer
    x = 38,359.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.