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Finding the Fourth Proportional to 33,314.43, 49,971 and 13,588.29

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Solution

The fourth proportional to 33,314.43, 49,971 and 13,588.29 is: 20,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314.43 : 49,971 = 13,588.29 : x
  2. Step 2: Convert to fraction form
    33,314.43/49,971 = 13,588.29/x
  3. Step 3: Cross multiply
    33,314.43x = 49,971 × 13,588.29
  4. Step 4: Simplify right side
    33,314.43x = 679,020,439.59
  5. Step 5: Solve for x
    x = 679,020,439.59/33,314.43
  6. Step 6: Final answer
    x = 20,382.17

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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.