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Finding the Fourth Proportional to 33,231.83, 49,847.74 and 9,858.07

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Solution

The fourth proportional to 33,231.83, 49,847.74 and 9,858.07 is: 14,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.83 : 49,847.74 = 9,858.07 : x
  2. Step 2: Convert to fraction form
    33,231.83/49,847.74 = 9,858.07/x
  3. Step 3: Cross multiply
    33,231.83x = 49,847.74 × 9,858.07
  4. Step 4: Simplify right side
    33,231.83x = 491,402,510.26
  5. Step 5: Solve for x
    x = 491,402,510.26/33,231.83
  6. Step 6: Final answer
    x = 14,787.10

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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.