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Finding the Fourth Proportional to 29,142.64, 40,146.60 and 23,172.40

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Solution

The fourth proportional to 29,142.64, 40,146.60 and 23,172.40 is: 31,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.64 : 40,146.60 = 23,172.40 : x
  2. Step 2: Convert to fraction form
    29,142.64/40,146.60 = 23,172.40/x
  3. Step 3: Cross multiply
    29,142.64x = 40,146.60 × 23,172.40
  4. Step 4: Simplify right side
    29,142.64x = 930,293,073.84
  5. Step 5: Solve for x
    x = 930,293,073.84/29,142.64
  6. Step 6: Final answer
    x = 31,922.06

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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.