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Finding the Fourth Proportional to 29,971.25, 41,360.02 and 16,542.63

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Solution

The fourth proportional to 29,971.25, 41,360.02 and 16,542.63 is: 22,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.25 : 41,360.02 = 16,542.63 : x
  2. Step 2: Convert to fraction form
    29,971.25/41,360.02 = 16,542.63/x
  3. Step 3: Cross multiply
    29,971.25x = 41,360.02 × 16,542.63
  4. Step 4: Simplify right side
    29,971.25x = 684,203,466.30
  5. Step 5: Solve for x
    x = 684,203,466.30/29,971.25
  6. Step 6: Final answer
    x = 22,828.66

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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.