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Finding the Fourth Proportional to 46,006, 68,898.25 and 31,169.94

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Solution

The fourth proportional to 46,006, 68,898.25 and 31,169.94 is: 46,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006 : 68,898.25 = 31,169.94 : x
  2. Step 2: Convert to fraction form
    46,006/68,898.25 = 31,169.94/x
  3. Step 3: Cross multiply
    46,006x = 68,898.25 × 31,169.94
  4. Step 4: Simplify right side
    46,006x = 2,147,554,318.61
  5. Step 5: Solve for x
    x = 2,147,554,318.61/46,006
  6. Step 6: Final answer
    x = 46,679.87

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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.