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Finding the Fourth Proportional to 50,185, 75,282.54 and 13,249

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Solution

The fourth proportional to 50,185, 75,282.54 and 13,249 is: 19,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,185 : 75,282.54 = 13,249 : x
  2. Step 2: Convert to fraction form
    50,185/75,282.54 = 13,249/x
  3. Step 3: Cross multiply
    50,185x = 75,282.54 × 13,249
  4. Step 4: Simplify right side
    50,185x = 997,418,372.46
  5. Step 5: Solve for x
    x = 997,418,372.46/50,185
  6. Step 6: Final answer
    x = 19,874.83

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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.