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Finding the Fourth Proportional to 29,277.97, 40,423.11 and 19,732.05

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Solution

The fourth proportional to 29,277.97, 40,423.11 and 19,732.05 is: 27,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277.97 : 40,423.11 = 19,732.05 : x
  2. Step 2: Convert to fraction form
    29,277.97/40,423.11 = 19,732.05/x
  3. Step 3: Cross multiply
    29,277.97x = 40,423.11 × 19,732.05
  4. Step 4: Simplify right side
    29,277.97x = 797,630,827.68
  5. Step 5: Solve for x
    x = 797,630,827.68/29,277.97
  6. Step 6: Final answer
    x = 27,243.38

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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.