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Finding the Fourth Proportional to 31,100.40, 46,650.60 and 18,658.80

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Solution

The fourth proportional to 31,100.40, 46,650.60 and 18,658.80 is: 27,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.40 : 46,650.60 = 18,658.80 : x
  2. Step 2: Convert to fraction form
    31,100.40/46,650.60 = 18,658.80/x
  3. Step 3: Cross multiply
    31,100.40x = 46,650.60 × 18,658.80
  4. Step 4: Simplify right side
    31,100.40x = 870,444,215.28
  5. Step 5: Solve for x
    x = 870,444,215.28/31,100.40
  6. Step 6: Final answer
    x = 27,988.20

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