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Finding the Fourth Proportional to 54,481.60, 75,180 and 30,606.40

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Solution

The fourth proportional to 54,481.60, 75,180 and 30,606.40 is: 42,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,481.60 : 75,180 = 30,606.40 : x
  2. Step 2: Convert to fraction form
    54,481.60/75,180 = 30,606.40/x
  3. Step 3: Cross multiply
    54,481.60x = 75,180 × 30,606.40
  4. Step 4: Simplify right side
    54,481.60x = 2,300,989,152
  5. Step 5: Solve for x
    x = 2,300,989,152/54,481.60
  6. Step 6: Final answer
    x = 42,234.24

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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.