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Finding the Fourth Proportional to 58,571.35, 80,828.12 and 31,713.31

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Solution

The fourth proportional to 58,571.35, 80,828.12 and 31,713.31 is: 43,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,571.35 : 80,828.12 = 31,713.31 : x
  2. Step 2: Convert to fraction form
    58,571.35/80,828.12 = 31,713.31/x
  3. Step 3: Cross multiply
    58,571.35x = 80,828.12 × 31,713.31
  4. Step 4: Simplify right side
    58,571.35x = 2,563,327,226.28
  5. Step 5: Solve for x
    x = 2,563,327,226.28/58,571.35
  6. Step 6: Final answer
    x = 43,764.18

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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.