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Finding the Fourth Proportional to 29,742.72, 41,045.02 and 17,167.46

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Solution

The fourth proportional to 29,742.72, 41,045.02 and 17,167.46 is: 23,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.72 : 41,045.02 = 17,167.46 : x
  2. Step 2: Convert to fraction form
    29,742.72/41,045.02 = 17,167.46/x
  3. Step 3: Cross multiply
    29,742.72x = 41,045.02 × 17,167.46
  4. Step 4: Simplify right side
    29,742.72x = 704,638,739.05
  5. Step 5: Solve for x
    x = 704,638,739.05/29,742.72
  6. Step 6: Final answer
    x = 23,691.13

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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.