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Finding the Fourth Proportional to 47,872.90, 71,809.38 and 22,907.08

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Solution

The fourth proportional to 47,872.90, 71,809.38 and 22,907.08 is: 34,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.90 : 71,809.38 = 22,907.08 : x
  2. Step 2: Convert to fraction form
    47,872.90/71,809.38 = 22,907.08/x
  3. Step 3: Cross multiply
    47,872.90x = 71,809.38 × 22,907.08
  4. Step 4: Simplify right side
    47,872.90x = 1,644,943,212.41
  5. Step 5: Solve for x
    x = 1,644,943,212.41/47,872.90
  6. Step 6: Final answer
    x = 34,360.63

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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.