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Finding the Fourth Proportional to 41,518.84, 57,297.72 and 23,617

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Solution

The fourth proportional to 41,518.84, 57,297.72 and 23,617 is: 32,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,518.84 : 57,297.72 = 23,617 : x
  2. Step 2: Convert to fraction form
    41,518.84/57,297.72 = 23,617/x
  3. Step 3: Cross multiply
    41,518.84x = 57,297.72 × 23,617
  4. Step 4: Simplify right side
    41,518.84x = 1,353,200,253.24
  5. Step 5: Solve for x
    x = 1,353,200,253.24/41,518.84
  6. Step 6: Final answer
    x = 32,592.44

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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.