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Finding the Fourth Proportional to 31,802.20, 47,660.10 and 21,242.20

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Solution

The fourth proportional to 31,802.20, 47,660.10 and 21,242.20 is: 31,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.20 : 47,660.10 = 21,242.20 : x
  2. Step 2: Convert to fraction form
    31,802.20/47,660.10 = 21,242.20/x
  3. Step 3: Cross multiply
    31,802.20x = 47,660.10 × 21,242.20
  4. Step 4: Simplify right side
    31,802.20x = 1,012,405,376.22
  5. Step 5: Solve for x
    x = 1,012,405,376.22/31,802.20
  6. Step 6: Final answer
    x = 31,834.44

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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.