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Finding the Fourth Proportional to 31,758.89, 43,812.90 and 19,825.16

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Solution

The fourth proportional to 31,758.89, 43,812.90 and 19,825.16 is: 27,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.89 : 43,812.90 = 19,825.16 : x
  2. Step 2: Convert to fraction form
    31,758.89/43,812.90 = 19,825.16/x
  3. Step 3: Cross multiply
    31,758.89x = 43,812.90 × 19,825.16
  4. Step 4: Simplify right side
    31,758.89x = 868,597,533.50
  5. Step 5: Solve for x
    x = 868,597,533.50/31,758.89
  6. Step 6: Final answer
    x = 27,349.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.