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Finding the Fourth Proportional to 69,593.74, 104,403.57 and 31,645.72

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Solution

The fourth proportional to 69,593.74, 104,403.57 and 31,645.72 is: 47,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,593.74 : 104,403.57 = 31,645.72 : x
  2. Step 2: Convert to fraction form
    69,593.74/104,403.57 = 31,645.72/x
  3. Step 3: Cross multiply
    69,593.74x = 104,403.57 × 31,645.72
  4. Step 4: Simplify right side
    69,593.74x = 3,303,926,143.22
  5. Step 5: Solve for x
    x = 3,303,926,143.22/69,593.74
  6. Step 6: Final answer
    x = 47,474.47

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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.