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Finding the Fourth Proportional to 41,865, 57,774.12 and 23,002.53

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Solution

The fourth proportional to 41,865, 57,774.12 and 23,002.53 is: 31,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,865 : 57,774.12 = 23,002.53 : x
  2. Step 2: Convert to fraction form
    41,865/57,774.12 = 23,002.53/x
  3. Step 3: Cross multiply
    41,865x = 57,774.12 × 23,002.53
  4. Step 4: Simplify right side
    41,865x = 1,328,950,928.52
  5. Step 5: Solve for x
    x = 1,328,950,928.52/41,865
  6. Step 6: Final answer
    x = 31,743.72

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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.