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Finding the Fourth Proportional to 48,057.84, 71,990.10 and 23,969.52

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Solution

The fourth proportional to 48,057.84, 71,990.10 and 23,969.52 is: 35,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,057.84 : 71,990.10 = 23,969.52 : x
  2. Step 2: Convert to fraction form
    48,057.84/71,990.10 = 23,969.52/x
  3. Step 3: Cross multiply
    48,057.84x = 71,990.10 × 23,969.52
  4. Step 4: Simplify right side
    48,057.84x = 1,725,568,141.75
  5. Step 5: Solve for x
    x = 1,725,568,141.75/48,057.84
  6. Step 6: Final answer
    x = 35,906.07

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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.