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Finding the Fourth Proportional to 47,311.80, 70,935.30 and 22,363.80

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Solution

The fourth proportional to 47,311.80, 70,935.30 and 22,363.80 is: 33,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.80 : 70,935.30 = 22,363.80 : x
  2. Step 2: Convert to fraction form
    47,311.80/70,935.30 = 22,363.80/x
  3. Step 3: Cross multiply
    47,311.80x = 70,935.30 × 22,363.80
  4. Step 4: Simplify right side
    47,311.80x = 1,586,382,862.14
  5. Step 5: Solve for x
    x = 1,586,382,862.14/47,311.80
  6. Step 6: Final answer
    x = 33,530.38

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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.