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Finding the Fourth Proportional to 41,298.90, 56,993.19 and 23,393.46

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Solution

The fourth proportional to 41,298.90, 56,993.19 and 23,393.46 is: 32,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,298.90 : 56,993.19 = 23,393.46 : x
  2. Step 2: Convert to fraction form
    41,298.90/56,993.19 = 23,393.46/x
  3. Step 3: Cross multiply
    41,298.90x = 56,993.19 × 23,393.46
  4. Step 4: Simplify right side
    41,298.90x = 1,333,267,910.54
  5. Step 5: Solve for x
    x = 1,333,267,910.54/41,298.90
  6. Step 6: Final answer
    x = 32,283.38

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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.