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Finding the Fourth Proportional to 72,941.37, 109,430.50 and 20,350.82

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Solution

The fourth proportional to 72,941.37, 109,430.50 and 20,350.82 is: 30,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,941.37 : 109,430.50 = 20,350.82 : x
  2. Step 2: Convert to fraction form
    72,941.37/109,430.50 = 20,350.82/x
  3. Step 3: Cross multiply
    72,941.37x = 109,430.50 × 20,350.82
  4. Step 4: Simplify right side
    72,941.37x = 2,227,000,408.01
  5. Step 5: Solve for x
    x = 2,227,000,408.01/72,941.37
  6. Step 6: Final answer
    x = 30,531.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.