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Finding the Fourth Proportional to 54,096.96, 74,641.02 and 31,422.48

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Solution

The fourth proportional to 54,096.96, 74,641.02 and 31,422.48 is: 43,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096.96 : 74,641.02 = 31,422.48 : x
  2. Step 2: Convert to fraction form
    54,096.96/74,641.02 = 31,422.48/x
  3. Step 3: Cross multiply
    54,096.96x = 74,641.02 × 31,422.48
  4. Step 4: Simplify right side
    54,096.96x = 2,345,405,980.25
  5. Step 5: Solve for x
    x = 2,345,405,980.25/54,096.96
  6. Step 6: Final answer
    x = 43,355.59

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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.