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Finding the Fourth Proportional to 54,399.60, 75,080.93 and 31,752

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Solution

The fourth proportional to 54,399.60, 75,080.93 and 31,752 is: 43,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,399.60 : 75,080.93 = 31,752 : x
  2. Step 2: Convert to fraction form
    54,399.60/75,080.93 = 31,752/x
  3. Step 3: Cross multiply
    54,399.60x = 75,080.93 × 31,752
  4. Step 4: Simplify right side
    54,399.60x = 2,383,969,530.60
  5. Step 5: Solve for x
    x = 2,383,969,530.60/54,399.60
  6. Step 6: Final answer
    x = 43,823.29

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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.