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Finding the Fourth Proportional to 31,677.68, 47,527.08 and 10,619.81

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Solution

The fourth proportional to 31,677.68, 47,527.08 and 10,619.81 is: 15,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.68 : 47,527.08 = 10,619.81 : x
  2. Step 2: Convert to fraction form
    31,677.68/47,527.08 = 10,619.81/x
  3. Step 3: Cross multiply
    31,677.68x = 47,527.08 × 10,619.81
  4. Step 4: Simplify right side
    31,677.68x = 504,728,321.82
  5. Step 5: Solve for x
    x = 504,728,321.82/31,677.68
  6. Step 6: Final answer
    x = 15,933.25

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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.