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Finding the Fourth Proportional to 57,184.56, 78,914.64 and 32,034.24

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Solution

The fourth proportional to 57,184.56, 78,914.64 and 32,034.24 is: 44,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184.56 : 78,914.64 = 32,034.24 : x
  2. Step 2: Convert to fraction form
    57,184.56/78,914.64 = 32,034.24/x
  3. Step 3: Cross multiply
    57,184.56x = 78,914.64 × 32,034.24
  4. Step 4: Simplify right side
    57,184.56x = 2,527,970,517.27
  5. Step 5: Solve for x
    x = 2,527,970,517.27/57,184.56
  6. Step 6: Final answer
    x = 44,207.22

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1.5x scale

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.