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Finding the Fourth Proportional to 68,271.60, 102,472.20 and 42,027.60

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Solution

The fourth proportional to 68,271.60, 102,472.20 and 42,027.60 is: 63,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,271.60 : 102,472.20 = 42,027.60 : x
  2. Step 2: Convert to fraction form
    68,271.60/102,472.20 = 42,027.60/x
  3. Step 3: Cross multiply
    68,271.60x = 102,472.20 × 42,027.60
  4. Step 4: Simplify right side
    68,271.60x = 4,306,660,632.72
  5. Step 5: Solve for x
    x = 4,306,660,632.72/68,271.60
  6. Step 6: Final answer
    x = 63,081.29

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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.