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Finding the Fourth Proportional to 71,184.30, 106,793.46 and 21,268.46

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Solution

The fourth proportional to 71,184.30, 106,793.46 and 21,268.46 is: 31,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184.30 : 106,793.46 = 21,268.46 : x
  2. Step 2: Convert to fraction form
    71,184.30/106,793.46 = 21,268.46/x
  3. Step 3: Cross multiply
    71,184.30x = 106,793.46 × 21,268.46
  4. Step 4: Simplify right side
    71,184.30x = 2,271,331,898.30
  5. Step 5: Solve for x
    x = 2,271,331,898.30/71,184.30
  6. Step 6: Final answer
    x = 31,907.76

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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.