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Finding the Fourth Proportional to 31,605.88, 47,434.74 and 16,027.96

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Solution

The fourth proportional to 31,605.88, 47,434.74 and 16,027.96 is: 24,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.88 : 47,434.74 = 16,027.96 : x
  2. Step 2: Convert to fraction form
    31,605.88/47,434.74 = 16,027.96/x
  3. Step 3: Cross multiply
    31,605.88x = 47,434.74 × 16,027.96
  4. Step 4: Simplify right side
    31,605.88x = 760,282,115.33
  5. Step 5: Solve for x
    x = 760,282,115.33/31,605.88
  6. Step 6: Final answer
    x = 24,055.08

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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.