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Finding the Fourth Proportional to 41,314.32, 57,006.72 and 23,405.63

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Solution

The fourth proportional to 41,314.32, 57,006.72 and 23,405.63 is: 32,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.32 : 57,006.72 = 23,405.63 : x
  2. Step 2: Convert to fraction form
    41,314.32/57,006.72 = 23,405.63/x
  3. Step 3: Cross multiply
    41,314.32x = 57,006.72 × 23,405.63
  4. Step 4: Simplify right side
    41,314.32x = 1,334,277,910.80
  5. Step 5: Solve for x
    x = 1,334,277,910.80/41,314.32
  6. Step 6: Final answer
    x = 32,295.77

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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.