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Finding the Fourth Proportional to 52,534.70, 72,408.03 and 41,129.90

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Solution

The fourth proportional to 52,534.70, 72,408.03 and 41,129.90 is: 56,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534.70 : 72,408.03 = 41,129.90 : x
  2. Step 2: Convert to fraction form
    52,534.70/72,408.03 = 41,129.90/x
  3. Step 3: Cross multiply
    52,534.70x = 72,408.03 × 41,129.90
  4. Step 4: Simplify right side
    52,534.70x = 2,978,135,033.10
  5. Step 5: Solve for x
    x = 2,978,135,033.10/52,534.70
  6. Step 6: Final answer
    x = 56,688.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.