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Finding the Fourth Proportional to 29,302.97, 40,438.85 and 17,364.38

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Solution

The fourth proportional to 29,302.97, 40,438.85 and 17,364.38 is: 23,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302.97 : 40,438.85 = 17,364.38 : x
  2. Step 2: Convert to fraction form
    29,302.97/40,438.85 = 17,364.38/x
  3. Step 3: Cross multiply
    29,302.97x = 40,438.85 × 17,364.38
  4. Step 4: Simplify right side
    29,302.97x = 702,195,269.15
  5. Step 5: Solve for x
    x = 702,195,269.15/29,302.97
  6. Step 6: Final answer
    x = 23,963.28

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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.