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Finding the Fourth Proportional to 50,285, 75,437.21 and 19,117.82

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Solution

The fourth proportional to 50,285, 75,437.21 and 19,117.82 is: 28,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,285 : 75,437.21 = 19,117.82 : x
  2. Step 2: Convert to fraction form
    50,285/75,437.21 = 19,117.82/x
  3. Step 3: Cross multiply
    50,285x = 75,437.21 × 19,117.82
  4. Step 4: Simplify right side
    50,285x = 1,442,195,002.08
  5. Step 5: Solve for x
    x = 1,442,195,002.08/50,285
  6. Step 6: Final answer
    x = 28,680.42

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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.