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Finding the Fourth Proportional to 41,766.84, 57,639.06 and 22,905

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Solution

The fourth proportional to 41,766.84, 57,639.06 and 22,905 is: 31,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766.84 : 57,639.06 = 22,905 : x
  2. Step 2: Convert to fraction form
    41,766.84/57,639.06 = 22,905/x
  3. Step 3: Cross multiply
    41,766.84x = 57,639.06 × 22,905
  4. Step 4: Simplify right side
    41,766.84x = 1,320,222,669.30
  5. Step 5: Solve for x
    x = 1,320,222,669.30/41,766.84
  6. Step 6: Final answer
    x = 31,609.35

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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.