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Finding the Fourth Proportional to 69,114.99, 103,671.80 and 31,664.44

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Solution

The fourth proportional to 69,114.99, 103,671.80 and 31,664.44 is: 47,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,114.99 : 103,671.80 = 31,664.44 : x
  2. Step 2: Convert to fraction form
    69,114.99/103,671.80 = 31,664.44/x
  3. Step 3: Cross multiply
    69,114.99x = 103,671.80 × 31,664.44
  4. Step 4: Simplify right side
    69,114.99x = 3,282,708,997.65
  5. Step 5: Solve for x
    x = 3,282,708,997.65/69,114.99
  6. Step 6: Final answer
    x = 47,496.34

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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.