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Finding the Fourth Proportional to 31,502.37, 47,236.09 and 12,507.74

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Solution

The fourth proportional to 31,502.37, 47,236.09 and 12,507.74 is: 18,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.37 : 47,236.09 = 12,507.74 : x
  2. Step 2: Convert to fraction form
    31,502.37/47,236.09 = 12,507.74/x
  3. Step 3: Cross multiply
    31,502.37x = 47,236.09 × 12,507.74
  4. Step 4: Simplify right side
    31,502.37x = 590,816,763.15
  5. Step 5: Solve for x
    x = 590,816,763.15/31,502.37
  6. Step 6: Final answer
    x = 18,754.68

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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.