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Finding the Fourth Proportional to 68,002.60, 102,034.14 and 34,705.08

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Solution

The fourth proportional to 68,002.60, 102,034.14 and 34,705.08 is: 52,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,002.60 : 102,034.14 = 34,705.08 : x
  2. Step 2: Convert to fraction form
    68,002.60/102,034.14 = 34,705.08/x
  3. Step 3: Cross multiply
    68,002.60x = 102,034.14 × 34,705.08
  4. Step 4: Simplify right side
    68,002.60x = 3,541,102,991.43
  5. Step 5: Solve for x
    x = 3,541,102,991.43/68,002.60
  6. Step 6: Final answer
    x = 52,073.05

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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.