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Finding the Fourth Proportional to 106,327.88, 159,523 and 31,450

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Solution

The fourth proportional to 106,327.88, 159,523 and 31,450 is: 47,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,327.88 : 159,523 = 31,450 : x
  2. Step 2: Convert to fraction form
    106,327.88/159,523 = 31,450/x
  3. Step 3: Cross multiply
    106,327.88x = 159,523 × 31,450
  4. Step 4: Simplify right side
    106,327.88x = 5,016,998,350
  5. Step 5: Solve for x
    x = 5,016,998,350/106,327.88
  6. Step 6: Final answer
    x = 47,184.22

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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.