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Finding the Fourth Proportional to 120,666.60, 180,993.42 and 31,923

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Solution

The fourth proportional to 120,666.60, 180,993.42 and 31,923 is: 47,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,666.60 : 180,993.42 = 31,923 : x
  2. Step 2: Convert to fraction form
    120,666.60/180,993.42 = 31,923/x
  3. Step 3: Cross multiply
    120,666.60x = 180,993.42 × 31,923
  4. Step 4: Simplify right side
    120,666.60x = 5,777,852,946.66
  5. Step 5: Solve for x
    x = 5,777,852,946.66/120,666.60
  6. Step 6: Final answer
    x = 47,882.79

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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.