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Finding the Fourth Proportional to 31,713.21, 47,571.03 and 10,652.40

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Solution

The fourth proportional to 31,713.21, 47,571.03 and 10,652.40 is: 15,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.21 : 47,571.03 = 10,652.40 : x
  2. Step 2: Convert to fraction form
    31,713.21/47,571.03 = 10,652.40/x
  3. Step 3: Cross multiply
    31,713.21x = 47,571.03 × 10,652.40
  4. Step 4: Simplify right side
    31,713.21x = 506,745,639.97
  5. Step 5: Solve for x
    x = 506,745,639.97/31,713.21
  6. Step 6: Final answer
    x = 15,979.01

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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.