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Finding the Fourth Proportional to 57,350, 79,143 and 32,199.50

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Solution

The fourth proportional to 57,350, 79,143 and 32,199.50 is: 44,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,350 : 79,143 = 32,199.50 : x
  2. Step 2: Convert to fraction form
    57,350/79,143 = 32,199.50/x
  3. Step 3: Cross multiply
    57,350x = 79,143 × 32,199.50
  4. Step 4: Simplify right side
    57,350x = 2,548,365,028.50
  5. Step 5: Solve for x
    x = 2,548,365,028.50/57,350
  6. Step 6: Final answer
    x = 44,435.31

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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.