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Finding the Fourth Proportional to 106,331.34, 159,497 and 31,445.65

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Solution

The fourth proportional to 106,331.34, 159,497 and 31,445.65 is: 47,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,331.34 : 159,497 = 31,445.65 : x
  2. Step 2: Convert to fraction form
    106,331.34/159,497 = 31,445.65/x
  3. Step 3: Cross multiply
    106,331.34x = 159,497 × 31,445.65
  4. Step 4: Simplify right side
    106,331.34x = 5,015,486,838.05
  5. Step 5: Solve for x
    x = 5,015,486,838.05/106,331.34
  6. Step 6: Final answer
    x = 47,168.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.