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Finding the Fourth Proportional to 50,145.75, 75,176.71 and 20,584.80

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Solution

The fourth proportional to 50,145.75, 75,176.71 and 20,584.80 is: 30,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145.75 : 75,176.71 = 20,584.80 : x
  2. Step 2: Convert to fraction form
    50,145.75/75,176.71 = 20,584.80/x
  3. Step 3: Cross multiply
    50,145.75x = 75,176.71 × 20,584.80
  4. Step 4: Simplify right side
    50,145.75x = 1,547,497,488.55
  5. Step 5: Solve for x
    x = 1,547,497,488.55/50,145.75
  6. Step 6: Final answer
    x = 30,859.99

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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.