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Finding the Fourth Proportional to 58,331, 80,496.78 and 31,835

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Solution

The fourth proportional to 58,331, 80,496.78 and 31,835 is: 43,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,331 : 80,496.78 = 31,835 : x
  2. Step 2: Convert to fraction form
    58,331/80,496.78 = 31,835/x
  3. Step 3: Cross multiply
    58,331x = 80,496.78 × 31,835
  4. Step 4: Simplify right side
    58,331x = 2,562,614,991.30
  5. Step 5: Solve for x
    x = 2,562,614,991.30/58,331
  6. Step 6: Final answer
    x = 43,932.30

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