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Finding the Fourth Proportional to 50,286, 75,438.71 and 19,118.82

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Solution

The fourth proportional to 50,286, 75,438.71 and 19,118.82 is: 28,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,286 : 75,438.71 = 19,118.82 : x
  2. Step 2: Convert to fraction form
    50,286/75,438.71 = 19,118.82/x
  3. Step 3: Cross multiply
    50,286x = 75,438.71 × 19,118.82
  4. Step 4: Simplify right side
    50,286x = 1,442,299,117.52
  5. Step 5: Solve for x
    x = 1,442,299,117.52/50,286
  6. Step 6: Final answer
    x = 28,681.92

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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.