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Finding the Fourth Proportional to 29,697.40, 44,474.10 and 15,815.80

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Solution

The fourth proportional to 29,697.40, 44,474.10 and 15,815.80 is: 23,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.40 : 44,474.10 = 15,815.80 : x
  2. Step 2: Convert to fraction form
    29,697.40/44,474.10 = 15,815.80/x
  3. Step 3: Cross multiply
    29,697.40x = 44,474.10 × 15,815.80
  4. Step 4: Simplify right side
    29,697.40x = 703,393,470.78
  5. Step 5: Solve for x
    x = 703,393,470.78/29,697.40
  6. Step 6: Final answer
    x = 23,685.36

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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.