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Finding the Fourth Proportional to 58,571.10, 80,828.26 and 31,713.92

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Solution

The fourth proportional to 58,571.10, 80,828.26 and 31,713.92 is: 43,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,571.10 : 80,828.26 = 31,713.92 : x
  2. Step 2: Convert to fraction form
    58,571.10/80,828.26 = 31,713.92/x
  3. Step 3: Cross multiply
    58,571.10x = 80,828.26 × 31,713.92
  4. Step 4: Simplify right side
    58,571.10x = 2,563,380,971.38
  5. Step 5: Solve for x
    x = 2,563,380,971.38/58,571.10
  6. Step 6: Final answer
    x = 43,765.29

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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.