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Finding the Fourth Proportional to 33,710.30, 50,561.40 and 19,678.40

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Solution

The fourth proportional to 33,710.30, 50,561.40 and 19,678.40 is: 29,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.30 : 50,561.40 = 19,678.40 : x
  2. Step 2: Convert to fraction form
    33,710.30/50,561.40 = 19,678.40/x
  3. Step 3: Cross multiply
    33,710.30x = 50,561.40 × 19,678.40
  4. Step 4: Simplify right side
    33,710.30x = 994,967,453.76
  5. Step 5: Solve for x
    x = 994,967,453.76/33,710.30
  6. Step 6: Final answer
    x = 29,515.24

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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.