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Finding the Fourth Proportional to 57,289.80, 85,934.70 and 54,568.20

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Solution

The fourth proportional to 57,289.80, 85,934.70 and 54,568.20 is: 81,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,289.80 : 85,934.70 = 54,568.20 : x
  2. Step 2: Convert to fraction form
    57,289.80/85,934.70 = 54,568.20/x
  3. Step 3: Cross multiply
    57,289.80x = 85,934.70 × 54,568.20
  4. Step 4: Simplify right side
    57,289.80x = 4,689,301,896.54
  5. Step 5: Solve for x
    x = 4,689,301,896.54/57,289.80
  6. Step 6: Final answer
    x = 81,852.30

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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.