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Finding the Fourth Proportional to 50,106.87, 75,160.14 and 20,524.71

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Solution

The fourth proportional to 50,106.87, 75,160.14 and 20,524.71 is: 30,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106.87 : 75,160.14 = 20,524.71 : x
  2. Step 2: Convert to fraction form
    50,106.87/75,160.14 = 20,524.71/x
  3. Step 3: Cross multiply
    50,106.87x = 75,160.14 × 20,524.71
  4. Step 4: Simplify right side
    50,106.87x = 1,542,640,077.06
  5. Step 5: Solve for x
    x = 1,542,640,077.06/50,106.87
  6. Step 6: Final answer
    x = 30,787.00

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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.