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Finding the Fourth Proportional to 37,687.64, 56,529.02 and 14,313.47

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Solution

The fourth proportional to 37,687.64, 56,529.02 and 14,313.47 is: 21,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,687.64 : 56,529.02 = 14,313.47 : x
  2. Step 2: Convert to fraction form
    37,687.64/56,529.02 = 14,313.47/x
  3. Step 3: Cross multiply
    37,687.64x = 56,529.02 × 14,313.47
  4. Step 4: Simplify right side
    37,687.64x = 809,126,185.04
  5. Step 5: Solve for x
    x = 809,126,185.04/37,687.64
  6. Step 6: Final answer
    x = 21,469.27

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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.