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Finding the Fourth Proportional to 29,498.96, 40,661 and 23,114.64

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Solution

The fourth proportional to 29,498.96, 40,661 and 23,114.64 is: 31,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.96 : 40,661 = 23,114.64 : x
  2. Step 2: Convert to fraction form
    29,498.96/40,661 = 23,114.64/x
  3. Step 3: Cross multiply
    29,498.96x = 40,661 × 23,114.64
  4. Step 4: Simplify right side
    29,498.96x = 939,864,377.04
  5. Step 5: Solve for x
    x = 939,864,377.04/29,498.96
  6. Step 6: Final answer
    x = 31,860.93

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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.