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Finding the Fourth Proportional to 29,791.79, 41,113.14 and 16,364.42

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Solution

The fourth proportional to 29,791.79, 41,113.14 and 16,364.42 is: 22,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791.79 : 41,113.14 = 16,364.42 : x
  2. Step 2: Convert to fraction form
    29,791.79/41,113.14 = 16,364.42/x
  3. Step 3: Cross multiply
    29,791.79x = 41,113.14 × 16,364.42
  4. Step 4: Simplify right side
    29,791.79x = 672,792,690.48
  5. Step 5: Solve for x
    x = 672,792,690.48/29,791.79
  6. Step 6: Final answer
    x = 22,583.16

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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.