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Finding the Fourth Proportional to 68,207.40, 102,264.82 and 23,809.88

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Solution

The fourth proportional to 68,207.40, 102,264.82 and 23,809.88 is: 35,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,207.40 : 102,264.82 = 23,809.88 : x
  2. Step 2: Convert to fraction form
    68,207.40/102,264.82 = 23,809.88/x
  3. Step 3: Cross multiply
    68,207.40x = 102,264.82 × 23,809.88
  4. Step 4: Simplify right side
    68,207.40x = 2,434,913,092.42
  5. Step 5: Solve for x
    x = 2,434,913,092.42/68,207.40
  6. Step 6: Final answer
    x = 35,698.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.