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Finding the Fourth Proportional to 73,240.86, 109,860.96 and 31,114.48

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Solution

The fourth proportional to 73,240.86, 109,860.96 and 31,114.48 is: 46,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,240.86 : 109,860.96 = 31,114.48 : x
  2. Step 2: Convert to fraction form
    73,240.86/109,860.96 = 31,114.48/x
  3. Step 3: Cross multiply
    73,240.86x = 109,860.96 × 31,114.48
  4. Step 4: Simplify right side
    73,240.86x = 3,418,266,093.40
  5. Step 5: Solve for x
    x = 3,418,266,093.40/73,240.86
  6. Step 6: Final answer
    x = 46,671.57

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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.