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Finding the Fourth Proportional to 47,229.65, 70,860.87 and 20,952.84

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Solution

The fourth proportional to 47,229.65, 70,860.87 and 20,952.84 is: 31,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229.65 : 70,860.87 = 20,952.84 : x
  2. Step 2: Convert to fraction form
    47,229.65/70,860.87 = 20,952.84/x
  3. Step 3: Cross multiply
    47,229.65x = 70,860.87 × 20,952.84
  4. Step 4: Simplify right side
    47,229.65x = 1,484,736,471.37
  5. Step 5: Solve for x
    x = 1,484,736,471.37/47,229.65
  6. Step 6: Final answer
    x = 31,436.54

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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.