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Finding the Fourth Proportional to 57,223.40, 85,905.30 and 36,163.40

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Solution

The fourth proportional to 57,223.40, 85,905.30 and 36,163.40 is: 54,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.40 : 85,905.30 = 36,163.40 : x
  2. Step 2: Convert to fraction form
    57,223.40/85,905.30 = 36,163.40/x
  3. Step 3: Cross multiply
    57,223.40x = 85,905.30 × 36,163.40
  4. Step 4: Simplify right side
    57,223.40x = 3,106,627,726.02
  5. Step 5: Solve for x
    x = 3,106,627,726.02/57,223.40
  6. Step 6: Final answer
    x = 54,289.46

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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.