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Finding the Fourth Proportional to 58,216, 80,338.24 and 31,720

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Solution

The fourth proportional to 58,216, 80,338.24 and 31,720 is: 43,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,216 : 80,338.24 = 31,720 : x
  2. Step 2: Convert to fraction form
    58,216/80,338.24 = 31,720/x
  3. Step 3: Cross multiply
    58,216x = 80,338.24 × 31,720
  4. Step 4: Simplify right side
    58,216x = 2,548,328,972.80
  5. Step 5: Solve for x
    x = 2,548,328,972.80/58,216
  6. Step 6: Final answer
    x = 43,773.69

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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.