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Finding the Fourth Proportional to 68,095.91, 102,144.32 and 23,723.50

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Solution

The fourth proportional to 68,095.91, 102,144.32 and 23,723.50 is: 35,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,095.91 : 102,144.32 = 23,723.50 : x
  2. Step 2: Convert to fraction form
    68,095.91/102,144.32 = 23,723.50/x
  3. Step 3: Cross multiply
    68,095.91x = 102,144.32 × 23,723.50
  4. Step 4: Simplify right side
    68,095.91x = 2,423,220,775.52
  5. Step 5: Solve for x
    x = 2,423,220,775.52/68,095.91
  6. Step 6: Final answer
    x = 35,585.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.