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Finding the Fourth Proportional to 29,605.85, 40,854.86 and 16,177.57

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Solution

The fourth proportional to 29,605.85, 40,854.86 and 16,177.57 is: 22,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.85 : 40,854.86 = 16,177.57 : x
  2. Step 2: Convert to fraction form
    29,605.85/40,854.86 = 16,177.57/x
  3. Step 3: Cross multiply
    29,605.85x = 40,854.86 × 16,177.57
  4. Step 4: Simplify right side
    29,605.85x = 660,932,072.33
  5. Step 5: Solve for x
    x = 660,932,072.33/29,605.85
  6. Step 6: Final answer
    x = 22,324.37

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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.