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Finding the Fourth Proportional to 29,971.62, 41,357.89 and 16,542.01

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Solution

The fourth proportional to 29,971.62, 41,357.89 and 16,542.01 is: 22,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.62 : 41,357.89 = 16,542.01 : x
  2. Step 2: Convert to fraction form
    29,971.62/41,357.89 = 16,542.01/x
  3. Step 3: Cross multiply
    29,971.62x = 41,357.89 × 16,542.01
  4. Step 4: Simplify right side
    29,971.62x = 684,142,340.46
  5. Step 5: Solve for x
    x = 684,142,340.46/29,971.62
  6. Step 6: Final answer
    x = 22,826.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.