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Finding the Fourth Proportional to 31,690.68, 47,543.22 and 16,891.80

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Solution

The fourth proportional to 31,690.68, 47,543.22 and 16,891.80 is: 25,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.68 : 47,543.22 = 16,891.80 : x
  2. Step 2: Convert to fraction form
    31,690.68/47,543.22 = 16,891.80/x
  3. Step 3: Cross multiply
    31,690.68x = 47,543.22 × 16,891.80
  4. Step 4: Simplify right side
    31,690.68x = 803,090,563.60
  5. Step 5: Solve for x
    x = 803,090,563.60/31,690.68
  6. Step 6: Final answer
    x = 25,341.54

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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.