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Finding the Fourth Proportional to 29,710.24, 41,000.10 and 17,776.38

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Solution

The fourth proportional to 29,710.24, 41,000.10 and 17,776.38 is: 24,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.24 : 41,000.10 = 17,776.38 : x
  2. Step 2: Convert to fraction form
    29,710.24/41,000.10 = 17,776.38/x
  3. Step 3: Cross multiply
    29,710.24x = 41,000.10 × 17,776.38
  4. Step 4: Simplify right side
    29,710.24x = 728,833,357.64
  5. Step 5: Solve for x
    x = 728,833,357.64/29,710.24
  6. Step 6: Final answer
    x = 24,531.39

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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.