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Finding the Fourth Proportional to 64,923, 89,593.74 and 35,115

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Solution

The fourth proportional to 64,923, 89,593.74 and 35,115 is: 48,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,923 : 89,593.74 = 35,115 : x
  2. Step 2: Convert to fraction form
    64,923/89,593.74 = 35,115/x
  3. Step 3: Cross multiply
    64,923x = 89,593.74 × 35,115
  4. Step 4: Simplify right side
    64,923x = 3,146,084,180.10
  5. Step 5: Solve for x
    x = 3,146,084,180.10/64,923
  6. Step 6: Final answer
    x = 48,458.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.