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Finding the Fourth Proportional to 57,378, 79,189.07 and 32,227.50

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Solution

The fourth proportional to 57,378, 79,189.07 and 32,227.50 is: 44,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378 : 79,189.07 = 32,227.50 : x
  2. Step 2: Convert to fraction form
    57,378/79,189.07 = 32,227.50/x
  3. Step 3: Cross multiply
    57,378x = 79,189.07 × 32,227.50
  4. Step 4: Simplify right side
    57,378x = 2,552,065,592.29
  5. Step 5: Solve for x
    x = 2,552,065,592.29/57,378
  6. Step 6: Final answer
    x = 44,478.12

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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.