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Finding the Fourth Proportional to 50,378.74, 75,568.17 and 18,788.32

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Solution

The fourth proportional to 50,378.74, 75,568.17 and 18,788.32 is: 28,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,378.74 : 75,568.17 = 18,788.32 : x
  2. Step 2: Convert to fraction form
    50,378.74/75,568.17 = 18,788.32/x
  3. Step 3: Cross multiply
    50,378.74x = 75,568.17 × 18,788.32
  4. Step 4: Simplify right side
    50,378.74x = 1,419,798,959.77
  5. Step 5: Solve for x
    x = 1,419,798,959.77/50,378.74
  6. Step 6: Final answer
    x = 28,182.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.