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Finding the Fourth Proportional to 47,797.92, 71,694.14 and 22,855.19

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Solution

The fourth proportional to 47,797.92, 71,694.14 and 22,855.19 is: 34,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.92 : 71,694.14 = 22,855.19 : x
  2. Step 2: Convert to fraction form
    47,797.92/71,694.14 = 22,855.19/x
  3. Step 3: Cross multiply
    47,797.92x = 71,694.14 × 22,855.19
  4. Step 4: Simplify right side
    47,797.92x = 1,638,582,718.84
  5. Step 5: Solve for x
    x = 1,638,582,718.84/47,797.92
  6. Step 6: Final answer
    x = 34,281.46

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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.