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Finding the Fourth Proportional to 27,535.38, 37,995.58 and 16,202.38

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Solution

The fourth proportional to 27,535.38, 37,995.58 and 16,202.38 is: 22,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.38 : 37,995.58 = 16,202.38 : x
  2. Step 2: Convert to fraction form
    27,535.38/37,995.58 = 16,202.38/x
  3. Step 3: Cross multiply
    27,535.38x = 37,995.58 × 16,202.38
  4. Step 4: Simplify right side
    27,535.38x = 615,618,825.48
  5. Step 5: Solve for x
    x = 615,618,825.48/27,535.38
  6. Step 6: Final answer
    x = 22,357.38

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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.