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Finding the Fourth Proportional to 47,767.04, 71,687.88 and 33,078.92

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Solution

The fourth proportional to 47,767.04, 71,687.88 and 33,078.92 is: 49,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,767.04 : 71,687.88 = 33,078.92 : x
  2. Step 2: Convert to fraction form
    47,767.04/71,687.88 = 33,078.92/x
  3. Step 3: Cross multiply
    47,767.04x = 71,687.88 × 33,078.92
  4. Step 4: Simplify right side
    47,767.04x = 2,371,357,647.49
  5. Step 5: Solve for x
    x = 2,371,357,647.49/47,767.04
  6. Step 6: Final answer
    x = 49,644.22

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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.