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Finding the Fourth Proportional to 83,583.80, 125,376.50 and 21,254.30

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Solution

The fourth proportional to 83,583.80, 125,376.50 and 21,254.30 is: 31,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.80 : 125,376.50 = 21,254.30 : x
  2. Step 2: Convert to fraction form
    83,583.80/125,376.50 = 21,254.30/x
  3. Step 3: Cross multiply
    83,583.80x = 125,376.50 × 21,254.30
  4. Step 4: Simplify right side
    83,583.80x = 2,664,789,170.20
  5. Step 5: Solve for x
    x = 2,664,789,170.20/83,583.80
  6. Step 6: Final answer
    x = 31,881.65

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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.