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Finding the Fourth Proportional to 34,162.20, 51,243.30 and 31,100.40

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Solution

The fourth proportional to 34,162.20, 51,243.30 and 31,100.40 is: 46,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.20 : 51,243.30 = 31,100.40 : x
  2. Step 2: Convert to fraction form
    34,162.20/51,243.30 = 31,100.40/x
  3. Step 3: Cross multiply
    34,162.20x = 51,243.30 × 31,100.40
  4. Step 4: Simplify right side
    34,162.20x = 1,593,687,127.32
  5. Step 5: Solve for x
    x = 1,593,687,127.32/34,162.20
  6. Step 6: Final answer
    x = 46,650.60

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Why These Related Problems?

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