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Finding the Fourth Proportional to 33,210.88, 49,821.12 and 9,834.24

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Solution

The fourth proportional to 33,210.88, 49,821.12 and 9,834.24 is: 14,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,210.88 : 49,821.12 = 9,834.24 : x
  2. Step 2: Convert to fraction form
    33,210.88/49,821.12 = 9,834.24/x
  3. Step 3: Cross multiply
    33,210.88x = 49,821.12 × 9,834.24
  4. Step 4: Simplify right side
    33,210.88x = 489,952,851.15
  5. Step 5: Solve for x
    x = 489,952,851.15/33,210.88
  6. Step 6: Final answer
    x = 14,752.78

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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.