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Finding the Fourth Proportional to 50,476.97, 75,716.67 and 24,152.78

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Solution

The fourth proportional to 50,476.97, 75,716.67 and 24,152.78 is: 36,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476.97 : 75,716.67 = 24,152.78 : x
  2. Step 2: Convert to fraction form
    50,476.97/75,716.67 = 24,152.78/x
  3. Step 3: Cross multiply
    50,476.97x = 75,716.67 × 24,152.78
  4. Step 4: Simplify right side
    50,476.97x = 1,828,768,352.71
  5. Step 5: Solve for x
    x = 1,828,768,352.71/50,476.97
  6. Step 6: Final answer
    x = 36,229.76

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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.