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Finding the Fourth Proportional to 31,319.89, 43,227.96 and 28,798

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Solution

The fourth proportional to 31,319.89, 43,227.96 and 28,798 is: 39,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319.89 : 43,227.96 = 28,798 : x
  2. Step 2: Convert to fraction form
    31,319.89/43,227.96 = 28,798/x
  3. Step 3: Cross multiply
    31,319.89x = 43,227.96 × 28,798
  4. Step 4: Simplify right side
    31,319.89x = 1,244,878,792.08
  5. Step 5: Solve for x
    x = 1,244,878,792.08/31,319.89
  6. Step 6: Final answer
    x = 39,747.23

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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.