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Finding the Fourth Proportional to 68,120.82, 102,178.80 and 23,747.40

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Solution

The fourth proportional to 68,120.82, 102,178.80 and 23,747.40 is: 35,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,120.82 : 102,178.80 = 23,747.40 : x
  2. Step 2: Convert to fraction form
    68,120.82/102,178.80 = 23,747.40/x
  3. Step 3: Cross multiply
    68,120.82x = 102,178.80 × 23,747.40
  4. Step 4: Simplify right side
    68,120.82x = 2,426,480,835.12
  5. Step 5: Solve for x
    x = 2,426,480,835.12/68,120.82
  6. Step 6: Final answer
    x = 35,620.25

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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.