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Finding the Fourth Proportional to 36,431.60, 50,277.48 and 22,280

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Solution

The fourth proportional to 36,431.60, 50,277.48 and 22,280 is: 30,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431.60 : 50,277.48 = 22,280 : x
  2. Step 2: Convert to fraction form
    36,431.60/50,277.48 = 22,280/x
  3. Step 3: Cross multiply
    36,431.60x = 50,277.48 × 22,280
  4. Step 4: Simplify right side
    36,431.60x = 1,120,182,254.40
  5. Step 5: Solve for x
    x = 1,120,182,254.40/36,431.60
  6. Step 6: Final answer
    x = 30,747.54

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