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Finding the Fourth Proportional to 57,309.40, 85,964.10 and 36,314.20

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Solution

The fourth proportional to 57,309.40, 85,964.10 and 36,314.20 is: 54,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.40 : 85,964.10 = 36,314.20 : x
  2. Step 2: Convert to fraction form
    57,309.40/85,964.10 = 36,314.20/x
  3. Step 3: Cross multiply
    57,309.40x = 85,964.10 × 36,314.20
  4. Step 4: Simplify right side
    57,309.40x = 3,121,717,520.22
  5. Step 5: Solve for x
    x = 3,121,717,520.22/57,309.40
  6. Step 6: Final answer
    x = 54,471.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.