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Finding the Fourth Proportional to 29,971.94, 41,361.19 and 16,543.10

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Solution

The fourth proportional to 29,971.94, 41,361.19 and 16,543.10 is: 22,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.94 : 41,361.19 = 16,543.10 : x
  2. Step 2: Convert to fraction form
    29,971.94/41,361.19 = 16,543.10/x
  3. Step 3: Cross multiply
    29,971.94x = 41,361.19 × 16,543.10
  4. Step 4: Simplify right side
    29,971.94x = 684,242,364.33
  5. Step 5: Solve for x
    x = 684,242,364.33/29,971.94
  6. Step 6: Final answer
    x = 22,829.43

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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.