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Finding the Fourth Proportional to 33,230.64, 49,837.50 and 9,851.64

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Solution

The fourth proportional to 33,230.64, 49,837.50 and 9,851.64 is: 14,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.64 : 49,837.50 = 9,851.64 : x
  2. Step 2: Convert to fraction form
    33,230.64/49,837.50 = 9,851.64/x
  3. Step 3: Cross multiply
    33,230.64x = 49,837.50 × 9,851.64
  4. Step 4: Simplify right side
    33,230.64x = 490,981,108.50
  5. Step 5: Solve for x
    x = 490,981,108.50/33,230.64
  6. Step 6: Final answer
    x = 14,774.95

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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.