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Finding the Fourth Proportional to 31,907.84, 47,882.24 and 15,482.88

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Solution

The fourth proportional to 31,907.84, 47,882.24 and 15,482.88 is: 23,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.84 : 47,882.24 = 15,482.88 : x
  2. Step 2: Convert to fraction form
    31,907.84/47,882.24 = 15,482.88/x
  3. Step 3: Cross multiply
    31,907.84x = 47,882.24 × 15,482.88
  4. Step 4: Simplify right side
    31,907.84x = 741,354,976.05
  5. Step 5: Solve for x
    x = 741,354,976.05/31,907.84
  6. Step 6: Final answer
    x = 23,234.26

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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.