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Finding the Fourth Proportional to 33,083.32, 49,617.50 and 9,711.58

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Solution

The fourth proportional to 33,083.32, 49,617.50 and 9,711.58 is: 14,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.32 : 49,617.50 = 9,711.58 : x
  2. Step 2: Convert to fraction form
    33,083.32/49,617.50 = 9,711.58/x
  3. Step 3: Cross multiply
    33,083.32x = 49,617.50 × 9,711.58
  4. Step 4: Simplify right side
    33,083.32x = 481,864,320.65
  5. Step 5: Solve for x
    x = 481,864,320.65/33,083.32
  6. Step 6: Final answer
    x = 14,565.17

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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.