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Finding the Fourth Proportional to 31,414.73, 47,066.74 and 16,590.98

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Solution

The fourth proportional to 31,414.73, 47,066.74 and 16,590.98 is: 24,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.73 : 47,066.74 = 16,590.98 : x
  2. Step 2: Convert to fraction form
    31,414.73/47,066.74 = 16,590.98/x
  3. Step 3: Cross multiply
    31,414.73x = 47,066.74 × 16,590.98
  4. Step 4: Simplify right side
    31,414.73x = 780,883,418.19
  5. Step 5: Solve for x
    x = 780,883,418.19/31,414.73
  6. Step 6: Final answer
    x = 24,857.24

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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.