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Finding the Fourth Proportional to 73,381.95, 110,119.25 and 31,262.05

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Solution

The fourth proportional to 73,381.95, 110,119.25 and 31,262.05 is: 46,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,381.95 : 110,119.25 = 31,262.05 : x
  2. Step 2: Convert to fraction form
    73,381.95/110,119.25 = 31,262.05/x
  3. Step 3: Cross multiply
    73,381.95x = 110,119.25 × 31,262.05
  4. Step 4: Simplify right side
    73,381.95x = 3,442,553,539.42
  5. Step 5: Solve for x
    x = 3,442,553,539.42/73,381.95
  6. Step 6: Final answer
    x = 46,912.81

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Why These Related Problems?

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