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Finding the Fourth Proportional to 27,631.39, 38,114.69 and 16,871.35

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Solution

The fourth proportional to 27,631.39, 38,114.69 and 16,871.35 is: 23,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,631.39 : 38,114.69 = 16,871.35 : x
  2. Step 2: Convert to fraction form
    27,631.39/38,114.69 = 16,871.35/x
  3. Step 3: Cross multiply
    27,631.39x = 38,114.69 × 16,871.35
  4. Step 4: Simplify right side
    27,631.39x = 643,046,095.49
  5. Step 5: Solve for x
    x = 643,046,095.49/27,631.39
  6. Step 6: Final answer
    x = 23,272.31

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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.