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Finding the Fourth Proportional to 58,571.80, 80,828.13 and 31,714.09

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Solution

The fourth proportional to 58,571.80, 80,828.13 and 31,714.09 is: 43,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,571.80 : 80,828.13 = 31,714.09 : x
  2. Step 2: Convert to fraction form
    58,571.80/80,828.13 = 31,714.09/x
  3. Step 3: Cross multiply
    58,571.80x = 80,828.13 × 31,714.09
  4. Step 4: Simplify right side
    58,571.80x = 2,563,390,589.35
  5. Step 5: Solve for x
    x = 2,563,390,589.35/58,571.80
  6. Step 6: Final answer
    x = 43,764.93

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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.