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Finding the Fourth Proportional to 54,128.28, 74,697 and 31,772.28

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Solution

The fourth proportional to 54,128.28, 74,697 and 31,772.28 is: 43,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,128.28 : 74,697 = 31,772.28 : x
  2. Step 2: Convert to fraction form
    54,128.28/74,697 = 31,772.28/x
  3. Step 3: Cross multiply
    54,128.28x = 74,697 × 31,772.28
  4. Step 4: Simplify right side
    54,128.28x = 2,373,293,999.16
  5. Step 5: Solve for x
    x = 2,373,293,999.16/54,128.28
  6. Step 6: Final answer
    x = 43,845.73

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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.