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Finding the Fourth Proportional to 57,003.24, 85,291.02 and 54,003

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Solution

The fourth proportional to 57,003.24, 85,291.02 and 54,003 is: 80,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,003.24 : 85,291.02 = 54,003 : x
  2. Step 2: Convert to fraction form
    57,003.24/85,291.02 = 54,003/x
  3. Step 3: Cross multiply
    57,003.24x = 85,291.02 × 54,003
  4. Step 4: Simplify right side
    57,003.24x = 4,605,970,953.06
  5. Step 5: Solve for x
    x = 4,605,970,953.06/57,003.24
  6. Step 6: Final answer
    x = 80,801.91

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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.