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Finding the Fourth Proportional to 83,980, 125,977.29 and 21,650.50

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Solution

The fourth proportional to 83,980, 125,977.29 and 21,650.50 is: 32,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980 : 125,977.29 = 21,650.50 : x
  2. Step 2: Convert to fraction form
    83,980/125,977.29 = 21,650.50/x
  3. Step 3: Cross multiply
    83,980x = 125,977.29 × 21,650.50
  4. Step 4: Simplify right side
    83,980x = 2,727,471,317.15
  5. Step 5: Solve for x
    x = 2,727,471,317.15/83,980
  6. Step 6: Final answer
    x = 32,477.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.