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Finding the Fourth Proportional to 77,651.64, 116,452.80 and 33,266.52

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Solution

The fourth proportional to 77,651.64, 116,452.80 and 33,266.52 is: 49,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,651.64 : 116,452.80 = 33,266.52 : x
  2. Step 2: Convert to fraction form
    77,651.64/116,452.80 = 33,266.52/x
  3. Step 3: Cross multiply
    77,651.64x = 116,452.80 × 33,266.52
  4. Step 4: Simplify right side
    77,651.64x = 3,873,979,400.26
  5. Step 5: Solve for x
    x = 3,873,979,400.26/77,651.64
  6. Step 6: Final answer
    x = 49,889.22

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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.