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Finding the Fourth Proportional to 29,051.98, 40,093.05 and 17,115.82

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Solution

The fourth proportional to 29,051.98, 40,093.05 and 17,115.82 is: 23,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,051.98 : 40,093.05 = 17,115.82 : x
  2. Step 2: Convert to fraction form
    29,051.98/40,093.05 = 17,115.82/x
  3. Step 3: Cross multiply
    29,051.98x = 40,093.05 × 17,115.82
  4. Step 4: Simplify right side
    29,051.98x = 686,225,427.05
  5. Step 5: Solve for x
    x = 686,225,427.05/29,051.98
  6. Step 6: Final answer
    x = 23,620.61

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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.