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Finding the Fourth Proportional to 29,394.68, 40,576.30 and 20,447.38

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Solution

The fourth proportional to 29,394.68, 40,576.30 and 20,447.38 is: 28,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394.68 : 40,576.30 = 20,447.38 : x
  2. Step 2: Convert to fraction form
    29,394.68/40,576.30 = 20,447.38/x
  3. Step 3: Cross multiply
    29,394.68x = 40,576.30 × 20,447.38
  4. Step 4: Simplify right side
    29,394.68x = 829,679,025.09
  5. Step 5: Solve for x
    x = 829,679,025.09/29,394.68
  6. Step 6: Final answer
    x = 28,225.48

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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.