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Finding the Fourth Proportional to 41,147.72, 56,784 and 22,284.84

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Solution

The fourth proportional to 41,147.72, 56,784 and 22,284.84 is: 30,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,147.72 : 56,784 = 22,284.84 : x
  2. Step 2: Convert to fraction form
    41,147.72/56,784 = 22,284.84/x
  3. Step 3: Cross multiply
    41,147.72x = 56,784 × 22,284.84
  4. Step 4: Simplify right side
    41,147.72x = 1,265,422,354.56
  5. Step 5: Solve for x
    x = 1,265,422,354.56/41,147.72
  6. Step 6: Final answer
    x = 30,753.16

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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.