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Finding the Fourth Proportional to 50,135.20, 75,205.02 and 27,931.74

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Solution

The fourth proportional to 50,135.20, 75,205.02 and 27,931.74 is: 41,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,135.20 : 75,205.02 = 27,931.74 : x
  2. Step 2: Convert to fraction form
    50,135.20/75,205.02 = 27,931.74/x
  3. Step 3: Cross multiply
    50,135.20x = 75,205.02 × 27,931.74
  4. Step 4: Simplify right side
    50,135.20x = 2,100,607,065.33
  5. Step 5: Solve for x
    x = 2,100,607,065.33/50,135.20
  6. Step 6: Final answer
    x = 41,898.85

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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.