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Finding the Fourth Proportional to 33,490.36, 50,235.90 and 12,709

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Solution

The fourth proportional to 33,490.36, 50,235.90 and 12,709 is: 19,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490.36 : 50,235.90 = 12,709 : x
  2. Step 2: Convert to fraction form
    33,490.36/50,235.90 = 12,709/x
  3. Step 3: Cross multiply
    33,490.36x = 50,235.90 × 12,709
  4. Step 4: Simplify right side
    33,490.36x = 638,448,053.10
  5. Step 5: Solve for x
    x = 638,448,053.10/33,490.36
  6. Step 6: Final answer
    x = 19,063.64

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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.