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Finding the Fourth Proportional to 41,563.72, 57,339.66 and 24,787

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Solution

The fourth proportional to 41,563.72, 57,339.66 and 24,787 is: 34,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.72 : 57,339.66 = 24,787 : x
  2. Step 2: Convert to fraction form
    41,563.72/57,339.66 = 24,787/x
  3. Step 3: Cross multiply
    41,563.72x = 57,339.66 × 24,787
  4. Step 4: Simplify right side
    41,563.72x = 1,421,278,152.42
  5. Step 5: Solve for x
    x = 1,421,278,152.42/41,563.72
  6. Step 6: Final answer
    x = 34,195.16

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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.