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Finding the Fourth Proportional to 33,214.95, 49,816.31 and 9,835.83

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Solution

The fourth proportional to 33,214.95, 49,816.31 and 9,835.83 is: 14,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.95 : 49,816.31 = 9,835.83 : x
  2. Step 2: Convert to fraction form
    33,214.95/49,816.31 = 9,835.83/x
  3. Step 3: Cross multiply
    33,214.95x = 49,816.31 × 9,835.83
  4. Step 4: Simplify right side
    33,214.95x = 489,984,707.21
  5. Step 5: Solve for x
    x = 489,984,707.21/33,214.95
  6. Step 6: Final answer
    x = 14,751.93

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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.