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Finding the Fourth Proportional to 58,227, 80,353.26 and 31,731

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Solution

The fourth proportional to 58,227, 80,353.26 and 31,731 is: 43,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,227 : 80,353.26 = 31,731 : x
  2. Step 2: Convert to fraction form
    58,227/80,353.26 = 31,731/x
  3. Step 3: Cross multiply
    58,227x = 80,353.26 × 31,731
  4. Step 4: Simplify right side
    58,227x = 2,549,689,293.06
  5. Step 5: Solve for x
    x = 2,549,689,293.06/58,227
  6. Step 6: Final answer
    x = 43,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.