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Finding the Fourth Proportional to 31,507.35, 47,261.02 and 8,133.78

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Solution

The fourth proportional to 31,507.35, 47,261.02 and 8,133.78 is: 12,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.35 : 47,261.02 = 8,133.78 : x
  2. Step 2: Convert to fraction form
    31,507.35/47,261.02 = 8,133.78/x
  3. Step 3: Cross multiply
    31,507.35x = 47,261.02 × 8,133.78
  4. Step 4: Simplify right side
    31,507.35x = 384,410,837.07
  5. Step 5: Solve for x
    x = 384,410,837.07/31,507.35
  6. Step 6: Final answer
    x = 12,200.67

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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.