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Finding the Fourth Proportional to 69,993.12, 105,033.48 and 46,635.96

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Solution

The fourth proportional to 69,993.12, 105,033.48 and 46,635.96 is: 69,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,993.12 : 105,033.48 = 46,635.96 : x
  2. Step 2: Convert to fraction form
    69,993.12/105,033.48 = 46,635.96/x
  3. Step 3: Cross multiply
    69,993.12x = 105,033.48 × 46,635.96
  4. Step 4: Simplify right side
    69,993.12x = 4,898,337,171.94
  5. Step 5: Solve for x
    x = 4,898,337,171.94/69,993.12
  6. Step 6: Final answer
    x = 69,983.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.