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Finding the Fourth Proportional to 37,446.08, 56,168.96 and 9,744

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Solution

The fourth proportional to 37,446.08, 56,168.96 and 9,744 is: 14,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,446.08 : 56,168.96 = 9,744 : x
  2. Step 2: Convert to fraction form
    37,446.08/56,168.96 = 9,744/x
  3. Step 3: Cross multiply
    37,446.08x = 56,168.96 × 9,744
  4. Step 4: Simplify right side
    37,446.08x = 547,310,346.24
  5. Step 5: Solve for x
    x = 547,310,346.24/37,446.08
  6. Step 6: Final answer
    x = 14,615.96

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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.