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Finding the Fourth Proportional to 31,100.70, 46,651.05 and 18,659.10

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Solution

The fourth proportional to 31,100.70, 46,651.05 and 18,659.10 is: 27,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.70 : 46,651.05 = 18,659.10 : x
  2. Step 2: Convert to fraction form
    31,100.70/46,651.05 = 18,659.10/x
  3. Step 3: Cross multiply
    31,100.70x = 46,651.05 × 18,659.10
  4. Step 4: Simplify right side
    31,100.70x = 870,466,607.06
  5. Step 5: Solve for x
    x = 870,466,607.06/31,100.70
  6. Step 6: Final answer
    x = 27,988.65

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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.