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Finding the Fourth Proportional to 37,768.96, 56,662 and 12,470.24

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Solution

The fourth proportional to 37,768.96, 56,662 and 12,470.24 is: 18,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768.96 : 56,662 = 12,470.24 : x
  2. Step 2: Convert to fraction form
    37,768.96/56,662 = 12,470.24/x
  3. Step 3: Cross multiply
    37,768.96x = 56,662 × 12,470.24
  4. Step 4: Simplify right side
    37,768.96x = 706,588,738.88
  5. Step 5: Solve for x
    x = 706,588,738.88/37,768.96
  6. Step 6: Final answer
    x = 18,708.19

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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.