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Finding the Fourth Proportional to 50,185, 75,306.66 and 22,483

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Solution

The fourth proportional to 50,185, 75,306.66 and 22,483 is: 33,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,185 : 75,306.66 = 22,483 : x
  2. Step 2: Convert to fraction form
    50,185/75,306.66 = 22,483/x
  3. Step 3: Cross multiply
    50,185x = 75,306.66 × 22,483
  4. Step 4: Simplify right side
    50,185x = 1,693,119,636.78
  5. Step 5: Solve for x
    x = 1,693,119,636.78/50,185
  6. Step 6: Final answer
    x = 33,737.56

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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.