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Finding the Fourth Proportional to 69,337.80, 103,923.15 and 31,846.14

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Solution

The fourth proportional to 69,337.80, 103,923.15 and 31,846.14 is: 47,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,337.80 : 103,923.15 = 31,846.14 : x
  2. Step 2: Convert to fraction form
    69,337.80/103,923.15 = 31,846.14/x
  3. Step 3: Cross multiply
    69,337.80x = 103,923.15 × 31,846.14
  4. Step 4: Simplify right side
    69,337.80x = 3,309,551,184.14
  5. Step 5: Solve for x
    x = 3,309,551,184.14/69,337.80
  6. Step 6: Final answer
    x = 47,730.84

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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.