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Finding the Fourth Proportional to 31,959.96, 44,084.16 and 21,204.60

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Solution

The fourth proportional to 31,959.96, 44,084.16 and 21,204.60 is: 29,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959.96 : 44,084.16 = 21,204.60 : x
  2. Step 2: Convert to fraction form
    31,959.96/44,084.16 = 21,204.60/x
  3. Step 3: Cross multiply
    31,959.96x = 44,084.16 × 21,204.60
  4. Step 4: Simplify right side
    31,959.96x = 934,786,979.14
  5. Step 5: Solve for x
    x = 934,786,979.14/31,959.96
  6. Step 6: Final answer
    x = 29,248.69

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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.