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Finding the Fourth Proportional to 68,084.92, 102,130.12 and 23,716.16

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Solution

The fourth proportional to 68,084.92, 102,130.12 and 23,716.16 is: 35,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,084.92 : 102,130.12 = 23,716.16 : x
  2. Step 2: Convert to fraction form
    68,084.92/102,130.12 = 23,716.16/x
  3. Step 3: Cross multiply
    68,084.92x = 102,130.12 × 23,716.16
  4. Step 4: Simplify right side
    68,084.92x = 2,422,133,756.09
  5. Step 5: Solve for x
    x = 2,422,133,756.09/68,084.92
  6. Step 6: Final answer
    x = 35,575.19

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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.