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Finding the Fourth Proportional to 68,281.97, 102,348.93 and 34,956.32

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Solution

The fourth proportional to 68,281.97, 102,348.93 and 34,956.32 is: 52,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,281.97 : 102,348.93 = 34,956.32 : x
  2. Step 2: Convert to fraction form
    68,281.97/102,348.93 = 34,956.32/x
  3. Step 3: Cross multiply
    68,281.97x = 102,348.93 × 34,956.32
  4. Step 4: Simplify right side
    68,281.97x = 3,577,741,948.74
  5. Step 5: Solve for x
    x = 3,577,741,948.74/68,281.97
  6. Step 6: Final answer
    x = 52,396.58

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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.