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Finding the Fourth Proportional to 55,832.26, 83,764.68 and 22,535.32

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Solution

The fourth proportional to 55,832.26, 83,764.68 and 22,535.32 is: 33,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,832.26 : 83,764.68 = 22,535.32 : x
  2. Step 2: Convert to fraction form
    55,832.26/83,764.68 = 22,535.32/x
  3. Step 3: Cross multiply
    55,832.26x = 83,764.68 × 22,535.32
  4. Step 4: Simplify right side
    55,832.26x = 1,887,663,868.50
  5. Step 5: Solve for x
    x = 1,887,663,868.50/55,832.26
  6. Step 6: Final answer
    x = 33,809.56

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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.