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Finding the Fourth Proportional to 30,568.84, 45,843.66 and 11,847.58

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Solution

The fourth proportional to 30,568.84, 45,843.66 and 11,847.58 is: 17,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.84 : 45,843.66 = 11,847.58 : x
  2. Step 2: Convert to fraction form
    30,568.84/45,843.66 = 11,847.58/x
  3. Step 3: Cross multiply
    30,568.84x = 45,843.66 × 11,847.58
  4. Step 4: Simplify right side
    30,568.84x = 543,136,429.34
  5. Step 5: Solve for x
    x = 543,136,429.34/30,568.84
  6. Step 6: Final answer
    x = 17,767.65

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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.