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Finding the Fourth Proportional to 68,188.34, 102,283.25 and 23,815.19

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Solution

The fourth proportional to 68,188.34, 102,283.25 and 23,815.19 is: 35,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,188.34 : 102,283.25 = 23,815.19 : x
  2. Step 2: Convert to fraction form
    68,188.34/102,283.25 = 23,815.19/x
  3. Step 3: Cross multiply
    68,188.34x = 102,283.25 × 23,815.19
  4. Step 4: Simplify right side
    68,188.34x = 2,435,894,402.08
  5. Step 5: Solve for x
    x = 2,435,894,402.08/68,188.34
  6. Step 6: Final answer
    x = 35,723.04

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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.