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Finding the Fourth Proportional to 50,034, 69,019.62 and 32,131.74

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Solution

The fourth proportional to 50,034, 69,019.62 and 32,131.74 is: 44,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,034 : 69,019.62 = 32,131.74 : x
  2. Step 2: Convert to fraction form
    50,034/69,019.62 = 32,131.74/x
  3. Step 3: Cross multiply
    50,034x = 69,019.62 × 32,131.74
  4. Step 4: Simplify right side
    50,034x = 2,217,720,484.74
  5. Step 5: Solve for x
    x = 2,217,720,484.74/50,034
  6. Step 6: Final answer
    x = 44,324.27

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