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Finding the Fourth Proportional to 73,671.63, 110,414.94 and 31,502.19

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Solution

The fourth proportional to 73,671.63, 110,414.94 and 31,502.19 is: 47,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,671.63 : 110,414.94 = 31,502.19 : x
  2. Step 2: Convert to fraction form
    73,671.63/110,414.94 = 31,502.19/x
  3. Step 3: Cross multiply
    73,671.63x = 110,414.94 × 31,502.19
  4. Step 4: Simplify right side
    73,671.63x = 3,478,312,418.72
  5. Step 5: Solve for x
    x = 3,478,312,418.72/73,671.63
  6. Step 6: Final answer
    x = 47,213.73

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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.