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Finding the Fourth Proportional to 33,225.30, 49,847.55 and 9,852.30

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Solution

The fourth proportional to 33,225.30, 49,847.55 and 9,852.30 is: 14,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,225.30 : 49,847.55 = 9,852.30 : x
  2. Step 2: Convert to fraction form
    33,225.30/49,847.55 = 9,852.30/x
  3. Step 3: Cross multiply
    33,225.30x = 49,847.55 × 9,852.30
  4. Step 4: Simplify right side
    33,225.30x = 491,113,016.87
  5. Step 5: Solve for x
    x = 491,113,016.87/33,225.30
  6. Step 6: Final answer
    x = 14,781.30

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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.