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Finding the Fourth Proportional to 68,177.88, 102,271.47 and 23,180.92

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Solution

The fourth proportional to 68,177.88, 102,271.47 and 23,180.92 is: 34,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,177.88 : 102,271.47 = 23,180.92 : x
  2. Step 2: Convert to fraction form
    68,177.88/102,271.47 = 23,180.92/x
  3. Step 3: Cross multiply
    68,177.88x = 102,271.47 × 23,180.92
  4. Step 4: Simplify right side
    68,177.88x = 2,370,746,764.35
  5. Step 5: Solve for x
    x = 2,370,746,764.35/68,177.88
  6. Step 6: Final answer
    x = 34,772.96

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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.