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Finding the Fourth Proportional to 54,699.81, 75,485.84 and 31,734.09

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Solution

The fourth proportional to 54,699.81, 75,485.84 and 31,734.09 is: 43,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.81 : 75,485.84 = 31,734.09 : x
  2. Step 2: Convert to fraction form
    54,699.81/75,485.84 = 31,734.09/x
  3. Step 3: Cross multiply
    54,699.81x = 75,485.84 × 31,734.09
  4. Step 4: Simplify right side
    54,699.81x = 2,395,474,281.62
  5. Step 5: Solve for x
    x = 2,395,474,281.62/54,699.81
  6. Step 6: Final answer
    x = 43,793.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.