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Finding the Fourth Proportional to 100,944, 151,369.84 and 37,717.72

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Solution

The fourth proportional to 100,944, 151,369.84 and 37,717.72 is: 56,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944 : 151,369.84 = 37,717.72 : x
  2. Step 2: Convert to fraction form
    100,944/151,369.84 = 37,717.72/x
  3. Step 3: Cross multiply
    100,944x = 151,369.84 × 37,717.72
  4. Step 4: Simplify right side
    100,944x = 5,709,325,241.56
  5. Step 5: Solve for x
    x = 5,709,325,241.56/100,944
  6. Step 6: Final answer
    x = 56,559.33

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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.