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Finding the Fourth Proportional to 115,738.32, 173,621.37 and 40,843

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Solution

The fourth proportional to 115,738.32, 173,621.37 and 40,843 is: 61,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,738.32 : 173,621.37 = 40,843 : x
  2. Step 2: Convert to fraction form
    115,738.32/173,621.37 = 40,843/x
  3. Step 3: Cross multiply
    115,738.32x = 173,621.37 × 40,843
  4. Step 4: Simplify right side
    115,738.32x = 7,091,217,614.91
  5. Step 5: Solve for x
    x = 7,091,217,614.91/115,738.32
  6. Step 6: Final answer
    x = 61,269.40

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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.