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Finding the Fourth Proportional to 57,378, 79,181.67 and 32,227.50

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Solution

The fourth proportional to 57,378, 79,181.67 and 32,227.50 is: 44,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378 : 79,181.67 = 32,227.50 : x
  2. Step 2: Convert to fraction form
    57,378/79,181.67 = 32,227.50/x
  3. Step 3: Cross multiply
    57,378x = 79,181.67 × 32,227.50
  4. Step 4: Simplify right side
    57,378x = 2,551,827,269.93
  5. Step 5: Solve for x
    x = 2,551,827,269.93/57,378
  6. Step 6: Final answer
    x = 44,473.97

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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.