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Finding the Fourth Proportional to 82,007.37, 113,170.57 and 46,197.95

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Solution

The fourth proportional to 82,007.37, 113,170.57 and 46,197.95 is: 63,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007.37 : 113,170.57 = 46,197.95 : x
  2. Step 2: Convert to fraction form
    82,007.37/113,170.57 = 46,197.95/x
  3. Step 3: Cross multiply
    82,007.37x = 113,170.57 × 46,197.95
  4. Step 4: Simplify right side
    82,007.37x = 5,228,247,652.98
  5. Step 5: Solve for x
    x = 5,228,247,652.98/82,007.37
  6. Step 6: Final answer
    x = 63,753.39

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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.