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Finding the Fourth Proportional to 68,574.30, 102,861.45 and 24,200.70

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Solution

The fourth proportional to 68,574.30, 102,861.45 and 24,200.70 is: 36,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,574.30 : 102,861.45 = 24,200.70 : x
  2. Step 2: Convert to fraction form
    68,574.30/102,861.45 = 24,200.70/x
  3. Step 3: Cross multiply
    68,574.30x = 102,861.45 × 24,200.70
  4. Step 4: Simplify right side
    68,574.30x = 2,489,319,093.02
  5. Step 5: Solve for x
    x = 2,489,319,093.02/68,574.30
  6. Step 6: Final answer
    x = 36,301.05

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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.