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Finding the Fourth Proportional to 68,093.82, 102,159.18 and 23,723.10

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Solution

The fourth proportional to 68,093.82, 102,159.18 and 23,723.10 is: 35,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093.82 : 102,159.18 = 23,723.10 : x
  2. Step 2: Convert to fraction form
    68,093.82/102,159.18 = 23,723.10/x
  3. Step 3: Cross multiply
    68,093.82x = 102,159.18 × 23,723.10
  4. Step 4: Simplify right side
    68,093.82x = 2,423,532,443.06
  5. Step 5: Solve for x
    x = 2,423,532,443.06/68,093.82
  6. Step 6: Final answer
    x = 35,591.08

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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.