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Finding the Fourth Proportional to 50,283, 75,434.21 and 19,115.82

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Solution

The fourth proportional to 50,283, 75,434.21 and 19,115.82 is: 28,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,283 : 75,434.21 = 19,115.82 : x
  2. Step 2: Convert to fraction form
    50,283/75,434.21 = 19,115.82/x
  3. Step 3: Cross multiply
    50,283x = 75,434.21 × 19,115.82
  4. Step 4: Simplify right side
    50,283x = 1,441,986,684.62
  5. Step 5: Solve for x
    x = 1,441,986,684.62/50,283
  6. Step 6: Final answer
    x = 28,677.42

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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.