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Finding the Fourth Proportional to 68,105.40, 102,158.10 and 38,580.90

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Solution

The fourth proportional to 68,105.40, 102,158.10 and 38,580.90 is: 57,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,105.40 : 102,158.10 = 38,580.90 : x
  2. Step 2: Convert to fraction form
    68,105.40/102,158.10 = 38,580.90/x
  3. Step 3: Cross multiply
    68,105.40x = 102,158.10 × 38,580.90
  4. Step 4: Simplify right side
    68,105.40x = 3,941,351,440.29
  5. Step 5: Solve for x
    x = 3,941,351,440.29/68,105.40
  6. Step 6: Final answer
    x = 57,871.35

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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.