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Finding the Fourth Proportional to 57,218.60, 85,827.90 and 36,223.40

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Solution

The fourth proportional to 57,218.60, 85,827.90 and 36,223.40 is: 54,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218.60 : 85,827.90 = 36,223.40 : x
  2. Step 2: Convert to fraction form
    57,218.60/85,827.90 = 36,223.40/x
  3. Step 3: Cross multiply
    57,218.60x = 85,827.90 × 36,223.40
  4. Step 4: Simplify right side
    57,218.60x = 3,108,978,352.86
  5. Step 5: Solve for x
    x = 3,108,978,352.86/57,218.60
  6. Step 6: Final answer
    x = 54,335.10

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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.