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Finding the Fourth Proportional to 41,523.75, 57,302.78 and 24,756.75

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Solution

The fourth proportional to 41,523.75, 57,302.78 and 24,756.75 is: 34,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523.75 : 57,302.78 = 24,756.75 : x
  2. Step 2: Convert to fraction form
    41,523.75/57,302.78 = 24,756.75/x
  3. Step 3: Cross multiply
    41,523.75x = 57,302.78 × 24,756.75
  4. Step 4: Simplify right side
    41,523.75x = 1,418,630,598.77
  5. Step 5: Solve for x
    x = 1,418,630,598.77/41,523.75
  6. Step 6: Final answer
    x = 34,164.32

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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.