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Finding the Fourth Proportional to 41,523.84, 57,302.10 and 22,661.10

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Solution

The fourth proportional to 41,523.84, 57,302.10 and 22,661.10 is: 31,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523.84 : 57,302.10 = 22,661.10 : x
  2. Step 2: Convert to fraction form
    41,523.84/57,302.10 = 22,661.10/x
  3. Step 3: Cross multiply
    41,523.84x = 57,302.10 × 22,661.10
  4. Step 4: Simplify right side
    41,523.84x = 1,298,528,618.31
  5. Step 5: Solve for x
    x = 1,298,528,618.31/41,523.84
  6. Step 6: Final answer
    x = 31,271.88

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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.