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Finding the Fourth Proportional to 31,824.78, 43,944.03 and 28,461.66

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Solution

The fourth proportional to 31,824.78, 43,944.03 and 28,461.66 is: 39,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824.78 : 43,944.03 = 28,461.66 : x
  2. Step 2: Convert to fraction form
    31,824.78/43,944.03 = 28,461.66/x
  3. Step 3: Cross multiply
    31,824.78x = 43,944.03 × 28,461.66
  4. Step 4: Simplify right side
    31,824.78x = 1,250,720,040.89
  5. Step 5: Solve for x
    x = 1,250,720,040.89/31,824.78
  6. Step 6: Final answer
    x = 39,300.19

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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.