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Finding the Fourth Proportional to 31,507.92, 47,263.70 and 8,133.75

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Solution

The fourth proportional to 31,507.92, 47,263.70 and 8,133.75 is: 12,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.92 : 47,263.70 = 8,133.75 : x
  2. Step 2: Convert to fraction form
    31,507.92/47,263.70 = 8,133.75/x
  3. Step 3: Cross multiply
    31,507.92x = 47,263.70 × 8,133.75
  4. Step 4: Simplify right side
    31,507.92x = 384,431,140.21
  5. Step 5: Solve for x
    x = 384,431,140.21/31,507.92
  6. Step 6: Final answer
    x = 12,201.10

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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.