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Finding the Fourth Proportional to 34,784, 52,179.68 and 11,093.36

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Solution

The fourth proportional to 34,784, 52,179.68 and 11,093.36 is: 16,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,784 : 52,179.68 = 11,093.36 : x
  2. Step 2: Convert to fraction form
    34,784/52,179.68 = 11,093.36/x
  3. Step 3: Cross multiply
    34,784x = 52,179.68 × 11,093.36
  4. Step 4: Simplify right side
    34,784x = 578,847,974.92
  5. Step 5: Solve for x
    x = 578,847,974.92/34,784
  6. Step 6: Final answer
    x = 16,641.21

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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.