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Finding the Fourth Proportional to 73,788.50, 110,682.86 and 31,641.37

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Solution

The fourth proportional to 73,788.50, 110,682.86 and 31,641.37 is: 47,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,788.50 : 110,682.86 = 31,641.37 : x
  2. Step 2: Convert to fraction form
    73,788.50/110,682.86 = 31,641.37/x
  3. Step 3: Cross multiply
    73,788.50x = 110,682.86 × 31,641.37
  4. Step 4: Simplify right side
    73,788.50x = 3,502,156,891.00
  5. Step 5: Solve for x
    x = 3,502,156,891.00/73,788.50
  6. Step 6: Final answer
    x = 47,462.09

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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.