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Finding the Fourth Proportional to 58,571.36, 80,828.12 and 31,713.30

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Solution

The fourth proportional to 58,571.36, 80,828.12 and 31,713.30 is: 43,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,571.36 : 80,828.12 = 31,713.30 : x
  2. Step 2: Convert to fraction form
    58,571.36/80,828.12 = 31,713.30/x
  3. Step 3: Cross multiply
    58,571.36x = 80,828.12 × 31,713.30
  4. Step 4: Simplify right side
    58,571.36x = 2,563,326,259.43
  5. Step 5: Solve for x
    x = 2,563,326,259.43/58,571.36
  6. Step 6: Final answer
    x = 43,764.16

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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.