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Finding the Fourth Proportional to 68,097.83, 102,147.24 and 23,724.50

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Solution

The fourth proportional to 68,097.83, 102,147.24 and 23,724.50 is: 35,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097.83 : 102,147.24 = 23,724.50 : x
  2. Step 2: Convert to fraction form
    68,097.83/102,147.24 = 23,724.50/x
  3. Step 3: Cross multiply
    68,097.83x = 102,147.24 × 23,724.50
  4. Step 4: Simplify right side
    68,097.83x = 2,423,391,684.64
  5. Step 5: Solve for x
    x = 2,423,391,684.64/68,097.83
  6. Step 6: Final answer
    x = 35,586.92

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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.