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Finding the Fourth Proportional to 50,496.75, 75,745.13 and 19,332

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Solution

The fourth proportional to 50,496.75, 75,745.13 and 19,332 is: 28,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496.75 : 75,745.13 = 19,332 : x
  2. Step 2: Convert to fraction form
    50,496.75/75,745.13 = 19,332/x
  3. Step 3: Cross multiply
    50,496.75x = 75,745.13 × 19,332
  4. Step 4: Simplify right side
    50,496.75x = 1,464,304,756.50
  5. Step 5: Solve for x
    x = 1,464,304,756.50/50,496.75
  6. Step 6: Final answer
    x = 28,998

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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.