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Finding the Fourth Proportional to 31,028.72, 42,820.07 and 16,881.57

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Solution

The fourth proportional to 31,028.72, 42,820.07 and 16,881.57 is: 23,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.72 : 42,820.07 = 16,881.57 : x
  2. Step 2: Convert to fraction form
    31,028.72/42,820.07 = 16,881.57/x
  3. Step 3: Cross multiply
    31,028.72x = 42,820.07 × 16,881.57
  4. Step 4: Simplify right side
    31,028.72x = 722,869,924.70
  5. Step 5: Solve for x
    x = 722,869,924.70/31,028.72
  6. Step 6: Final answer
    x = 23,296.81

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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.