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Finding the Fourth Proportional to 40,243.52, 55,535.02 and 22,338

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Solution

The fourth proportional to 40,243.52, 55,535.02 and 22,338 is: 30,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243.52 : 55,535.02 = 22,338 : x
  2. Step 2: Convert to fraction form
    40,243.52/55,535.02 = 22,338/x
  3. Step 3: Cross multiply
    40,243.52x = 55,535.02 × 22,338
  4. Step 4: Simplify right side
    40,243.52x = 1,240,541,276.76
  5. Step 5: Solve for x
    x = 1,240,541,276.76/40,243.52
  6. Step 6: Final answer
    x = 30,825.86

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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.