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Finding the Fourth Proportional to 62,077, 85,651.32 and 36,584.38

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Solution

The fourth proportional to 62,077, 85,651.32 and 36,584.38 is: 50,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,077 : 85,651.32 = 36,584.38 : x
  2. Step 2: Convert to fraction form
    62,077/85,651.32 = 36,584.38/x
  3. Step 3: Cross multiply
    62,077x = 85,651.32 × 36,584.38
  4. Step 4: Simplify right side
    62,077x = 3,133,500,438.38
  5. Step 5: Solve for x
    x = 3,133,500,438.38/62,077
  6. Step 6: Final answer
    x = 50,477.64

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1.5x scale

Why These Related Problems?

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