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Finding the Fourth Proportional to 27,535.96, 37,996.38 and 16,202.96

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Solution

The fourth proportional to 27,535.96, 37,996.38 and 16,202.96 is: 22,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.96 : 37,996.38 = 16,202.96 : x
  2. Step 2: Convert to fraction form
    27,535.96/37,996.38 = 16,202.96/x
  3. Step 3: Cross multiply
    27,535.96x = 37,996.38 × 16,202.96
  4. Step 4: Simplify right side
    27,535.96x = 615,653,825.28
  5. Step 5: Solve for x
    x = 615,653,825.28/27,535.96
  6. Step 6: Final answer
    x = 22,358.18

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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.