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Finding the Fourth Proportional to 31,246.65, 46,869.96 and 7,874.91

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Solution

The fourth proportional to 31,246.65, 46,869.96 and 7,874.91 is: 11,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246.65 : 46,869.96 = 7,874.91 : x
  2. Step 2: Convert to fraction form
    31,246.65/46,869.96 = 7,874.91/x
  3. Step 3: Cross multiply
    31,246.65x = 46,869.96 × 7,874.91
  4. Step 4: Simplify right side
    31,246.65x = 369,096,716.70
  5. Step 5: Solve for x
    x = 369,096,716.70/31,246.65
  6. Step 6: Final answer
    x = 11,812.36

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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.