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Finding the Fourth Proportional to 31,758.90, 43,828.34 and 17,419.74

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Solution

The fourth proportional to 31,758.90, 43,828.34 and 17,419.74 is: 24,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.90 : 43,828.34 = 17,419.74 : x
  2. Step 2: Convert to fraction form
    31,758.90/43,828.34 = 17,419.74/x
  3. Step 3: Cross multiply
    31,758.90x = 43,828.34 × 17,419.74
  4. Step 4: Simplify right side
    31,758.90x = 763,478,200.33
  5. Step 5: Solve for x
    x = 763,478,200.33/31,758.90
  6. Step 6: Final answer
    x = 24,039.82

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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.