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Finding the Fourth Proportional to 32,120.17, 44,296.39 and 27,581.31

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Solution

The fourth proportional to 32,120.17, 44,296.39 and 27,581.31 is: 38,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.17 : 44,296.39 = 27,581.31 : x
  2. Step 2: Convert to fraction form
    32,120.17/44,296.39 = 27,581.31/x
  3. Step 3: Cross multiply
    32,120.17x = 44,296.39 × 27,581.31
  4. Step 4: Simplify right side
    32,120.17x = 1,221,752,464.47
  5. Step 5: Solve for x
    x = 1,221,752,464.47/32,120.17
  6. Step 6: Final answer
    x = 38,036.92

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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.