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Finding the Fourth Proportional to 33,231.77, 49,847.65 and 9,858

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Solution

The fourth proportional to 33,231.77, 49,847.65 and 9,858 is: 14,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.77 : 49,847.65 = 9,858 : x
  2. Step 2: Convert to fraction form
    33,231.77/49,847.65 = 9,858/x
  3. Step 3: Cross multiply
    33,231.77x = 49,847.65 × 9,858
  4. Step 4: Simplify right side
    33,231.77x = 491,398,133.70
  5. Step 5: Solve for x
    x = 491,398,133.70/33,231.77
  6. Step 6: Final answer
    x = 14,787.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.