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Finding the Fourth Proportional to 58,201.50, 80,318.07 and 31,705.50

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Solution

The fourth proportional to 58,201.50, 80,318.07 and 31,705.50 is: 43,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,201.50 : 80,318.07 = 31,705.50 : x
  2. Step 2: Convert to fraction form
    58,201.50/80,318.07 = 31,705.50/x
  3. Step 3: Cross multiply
    58,201.50x = 80,318.07 × 31,705.50
  4. Step 4: Simplify right side
    58,201.50x = 2,546,524,568.39
  5. Step 5: Solve for x
    x = 2,546,524,568.39/58,201.50
  6. Step 6: Final answer
    x = 43,753.59

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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.