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Finding the Fourth Proportional to 75,662.30, 113,386.52 and 31,261.34

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Solution

The fourth proportional to 75,662.30, 113,386.52 and 31,261.34 is: 46,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,662.30 : 113,386.52 = 31,261.34 : x
  2. Step 2: Convert to fraction form
    75,662.30/113,386.52 = 31,261.34/x
  3. Step 3: Cross multiply
    75,662.30x = 113,386.52 × 31,261.34
  4. Step 4: Simplify right side
    75,662.30x = 3,544,614,553.14
  5. Step 5: Solve for x
    x = 3,544,614,553.14/75,662.30
  6. Step 6: Final answer
    x = 46,847.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.