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Finding the Fourth Proportional to 31,612.78, 47,419.17 and 21,722.10

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Solution

The fourth proportional to 31,612.78, 47,419.17 and 21,722.10 is: 32,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.78 : 47,419.17 = 21,722.10 : x
  2. Step 2: Convert to fraction form
    31,612.78/47,419.17 = 21,722.10/x
  3. Step 3: Cross multiply
    31,612.78x = 47,419.17 × 21,722.10
  4. Step 4: Simplify right side
    31,612.78x = 1,030,043,952.66
  5. Step 5: Solve for x
    x = 1,030,043,952.66/31,612.78
  6. Step 6: Final answer
    x = 32,583.15

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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.