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Finding the Fourth Proportional to 29,971.31, 41,360.71 and 16,542.27

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Solution

The fourth proportional to 29,971.31, 41,360.71 and 16,542.27 is: 22,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.31 : 41,360.71 = 16,542.27 : x
  2. Step 2: Convert to fraction form
    29,971.31/41,360.71 = 16,542.27/x
  3. Step 3: Cross multiply
    29,971.31x = 41,360.71 × 16,542.27
  4. Step 4: Simplify right side
    29,971.31x = 684,200,032.21
  5. Step 5: Solve for x
    x = 684,200,032.21/29,971.31
  6. Step 6: Final answer
    x = 22,828.50

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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.