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Finding the Fourth Proportional to 50,573.84, 75,864.38 and 19,409.09

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Solution

The fourth proportional to 50,573.84, 75,864.38 and 19,409.09 is: 29,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,573.84 : 75,864.38 = 19,409.09 : x
  2. Step 2: Convert to fraction form
    50,573.84/75,864.38 = 19,409.09/x
  3. Step 3: Cross multiply
    50,573.84x = 75,864.38 × 19,409.09
  4. Step 4: Simplify right side
    50,573.84x = 1,472,458,102.85
  5. Step 5: Solve for x
    x = 1,472,458,102.85/50,573.84
  6. Step 6: Final answer
    x = 29,115.02

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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.