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Finding the Fourth Proportional to 50,132.75, 75,197.70 and 16,854.71

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Solution

The fourth proportional to 50,132.75, 75,197.70 and 16,854.71 is: 25,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,132.75 : 75,197.70 = 16,854.71 : x
  2. Step 2: Convert to fraction form
    50,132.75/75,197.70 = 16,854.71/x
  3. Step 3: Cross multiply
    50,132.75x = 75,197.70 × 16,854.71
  4. Step 4: Simplify right side
    50,132.75x = 1,267,435,050.18
  5. Step 5: Solve for x
    x = 1,267,435,050.18/50,132.75
  6. Step 6: Final answer
    x = 25,281.58

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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.