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Finding the Fourth Proportional to 31,104.54, 46,644.66 and 10,836.18

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Solution

The fourth proportional to 31,104.54, 46,644.66 and 10,836.18 is: 16,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.54 : 46,644.66 = 10,836.18 : x
  2. Step 2: Convert to fraction form
    31,104.54/46,644.66 = 10,836.18/x
  3. Step 3: Cross multiply
    31,104.54x = 46,644.66 × 10,836.18
  4. Step 4: Simplify right side
    31,104.54x = 505,449,931.80
  5. Step 5: Solve for x
    x = 505,449,931.80/31,104.54
  6. Step 6: Final answer
    x = 16,250.04

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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.