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Finding the Fourth Proportional to 31,224.72, 46,861.68 and 16,442.40

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Solution

The fourth proportional to 31,224.72, 46,861.68 and 16,442.40 is: 24,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.72 : 46,861.68 = 16,442.40 : x
  2. Step 2: Convert to fraction form
    31,224.72/46,861.68 = 16,442.40/x
  3. Step 3: Cross multiply
    31,224.72x = 46,861.68 × 16,442.40
  4. Step 4: Simplify right side
    31,224.72x = 770,518,487.23
  5. Step 5: Solve for x
    x = 770,518,487.23/31,224.72
  6. Step 6: Final answer
    x = 24,676.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.