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Finding the Fourth Proportional to 69,588, 96,033.12 and 41,293.92

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Solution

The fourth proportional to 69,588, 96,033.12 and 41,293.92 is: 56,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,588 : 96,033.12 = 41,293.92 : x
  2. Step 2: Convert to fraction form
    69,588/96,033.12 = 41,293.92/x
  3. Step 3: Cross multiply
    69,588x = 96,033.12 × 41,293.92
  4. Step 4: Simplify right side
    69,588x = 3,965,583,974.63
  5. Step 5: Solve for x
    x = 3,965,583,974.63/69,588
  6. Step 6: Final answer
    x = 56,986.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.