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Finding the Fourth Proportional to 58,016, 80,062.56 and 31,520

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Solution

The fourth proportional to 58,016, 80,062.56 and 31,520 is: 43,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,016 : 80,062.56 = 31,520 : x
  2. Step 2: Convert to fraction form
    58,016/80,062.56 = 31,520/x
  3. Step 3: Cross multiply
    58,016x = 80,062.56 × 31,520
  4. Step 4: Simplify right side
    58,016x = 2,523,571,891.20
  5. Step 5: Solve for x
    x = 2,523,571,891.20/58,016
  6. Step 6: Final answer
    x = 43,497.86

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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.