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Finding the Fourth Proportional to 34,414.32, 51,610.54 and 23,391.84

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Solution

The fourth proportional to 34,414.32, 51,610.54 and 23,391.84 is: 35,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.32 : 51,610.54 = 23,391.84 : x
  2. Step 2: Convert to fraction form
    34,414.32/51,610.54 = 23,391.84/x
  3. Step 3: Cross multiply
    34,414.32x = 51,610.54 × 23,391.84
  4. Step 4: Simplify right side
    34,414.32x = 1,207,265,235.94
  5. Step 5: Solve for x
    x = 1,207,265,235.94/34,414.32
  6. Step 6: Final answer
    x = 35,080.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.