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Finding the Fourth Proportional to 45,227.70, 62,411.85 and 25,083

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Solution

The fourth proportional to 45,227.70, 62,411.85 and 25,083 is: 34,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,227.70 : 62,411.85 = 25,083 : x
  2. Step 2: Convert to fraction form
    45,227.70/62,411.85 = 25,083/x
  3. Step 3: Cross multiply
    45,227.70x = 62,411.85 × 25,083
  4. Step 4: Simplify right side
    45,227.70x = 1,565,476,433.55
  5. Step 5: Solve for x
    x = 1,565,476,433.55/45,227.70
  6. Step 6: Final answer
    x = 34,613.22

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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.