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Finding the Fourth Proportional to 69,203.44, 103,724.50 and 31,767.46

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Solution

The fourth proportional to 69,203.44, 103,724.50 and 31,767.46 is: 47,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,203.44 : 103,724.50 = 31,767.46 : x
  2. Step 2: Convert to fraction form
    69,203.44/103,724.50 = 31,767.46/x
  3. Step 3: Cross multiply
    69,203.44x = 103,724.50 × 31,767.46
  4. Step 4: Simplify right side
    69,203.44x = 3,295,063,904.77
  5. Step 5: Solve for x
    x = 3,295,063,904.77/69,203.44
  6. Step 6: Final answer
    x = 47,614.16

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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.