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Finding the Fourth Proportional to 51,218, 70,680.84 and 27,666

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Solution

The fourth proportional to 51,218, 70,680.84 and 27,666 is: 38,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,218 : 70,680.84 = 27,666 : x
  2. Step 2: Convert to fraction form
    51,218/70,680.84 = 27,666/x
  3. Step 3: Cross multiply
    51,218x = 70,680.84 × 27,666
  4. Step 4: Simplify right side
    51,218x = 1,955,456,119.44
  5. Step 5: Solve for x
    x = 1,955,456,119.44/51,218
  6. Step 6: Final answer
    x = 38,179.08

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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.