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Finding the Fourth Proportional to 50,684.30, 75,928.03 and 24,407.49

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Solution

The fourth proportional to 50,684.30, 75,928.03 and 24,407.49 is: 36,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,684.30 : 75,928.03 = 24,407.49 : x
  2. Step 2: Convert to fraction form
    50,684.30/75,928.03 = 24,407.49/x
  3. Step 3: Cross multiply
    50,684.30x = 75,928.03 × 24,407.49
  4. Step 4: Simplify right side
    50,684.30x = 1,853,212,993.95
  5. Step 5: Solve for x
    x = 1,853,212,993.95/50,684.30
  6. Step 6: Final answer
    x = 36,563.85

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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.