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Finding the Fourth Proportional to 57,116.48, 85,713.48 and 20,180.48

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Solution

The fourth proportional to 57,116.48, 85,713.48 and 20,180.48 is: 30,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116.48 : 85,713.48 = 20,180.48 : x
  2. Step 2: Convert to fraction form
    57,116.48/85,713.48 = 20,180.48/x
  3. Step 3: Cross multiply
    57,116.48x = 85,713.48 × 20,180.48
  4. Step 4: Simplify right side
    57,116.48x = 1,729,739,168.87
  5. Step 5: Solve for x
    x = 1,729,739,168.87/57,116.48
  6. Step 6: Final answer
    x = 30,284.41

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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.