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Finding the Fourth Proportional to 106,389.89, 159,621.29 and 36,318.41

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Solution

The fourth proportional to 106,389.89, 159,621.29 and 36,318.41 is: 54,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,389.89 : 159,621.29 = 36,318.41 : x
  2. Step 2: Convert to fraction form
    106,389.89/159,621.29 = 36,318.41/x
  3. Step 3: Cross multiply
    106,389.89x = 159,621.29 × 36,318.41
  4. Step 4: Simplify right side
    106,389.89x = 5,797,191,273.36
  5. Step 5: Solve for x
    x = 5,797,191,273.36/106,389.89
  6. Step 6: Final answer
    x = 54,490.06

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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.