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Finding the Fourth Proportional to 31,197.35, 46,814.45 and 16,407.41

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Solution

The fourth proportional to 31,197.35, 46,814.45 and 16,407.41 is: 24,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.35 : 46,814.45 = 16,407.41 : x
  2. Step 2: Convert to fraction form
    31,197.35/46,814.45 = 16,407.41/x
  3. Step 3: Cross multiply
    31,197.35x = 46,814.45 × 16,407.41
  4. Step 4: Simplify right side
    31,197.35x = 768,103,558.97
  5. Step 5: Solve for x
    x = 768,103,558.97/31,197.35
  6. Step 6: Final answer
    x = 24,620.80

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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.