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Finding the Fourth Proportional to 47,475.46, 65,516.04 and 27,325

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Solution

The fourth proportional to 47,475.46, 65,516.04 and 27,325 is: 37,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475.46 : 65,516.04 = 27,325 : x
  2. Step 2: Convert to fraction form
    47,475.46/65,516.04 = 27,325/x
  3. Step 3: Cross multiply
    47,475.46x = 65,516.04 × 27,325
  4. Step 4: Simplify right side
    47,475.46x = 1,790,225,793
  5. Step 5: Solve for x
    x = 1,790,225,793/47,475.46
  6. Step 6: Final answer
    x = 37,708.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.