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Finding the Fourth Proportional to 34,106.31, 51,191.46 and 20,984.31

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Solution

The fourth proportional to 34,106.31, 51,191.46 and 20,984.31 is: 31,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.31 : 51,191.46 = 20,984.31 : x
  2. Step 2: Convert to fraction form
    34,106.31/51,191.46 = 20,984.31/x
  3. Step 3: Cross multiply
    34,106.31x = 51,191.46 × 20,984.31
  4. Step 4: Simplify right side
    34,106.31x = 1,074,217,465.99
  5. Step 5: Solve for x
    x = 1,074,217,465.99/34,106.31
  6. Step 6: Final answer
    x = 31,496.15

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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.