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Finding the Fourth Proportional to 31,087.50, 42,899.22 and 17,656.99

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Solution

The fourth proportional to 31,087.50, 42,899.22 and 17,656.99 is: 24,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.50 : 42,899.22 = 17,656.99 : x
  2. Step 2: Convert to fraction form
    31,087.50/42,899.22 = 17,656.99/x
  3. Step 3: Cross multiply
    31,087.50x = 42,899.22 × 17,656.99
  4. Step 4: Simplify right side
    31,087.50x = 757,471,098.55
  5. Step 5: Solve for x
    x = 757,471,098.55/31,087.50
  6. Step 6: Final answer
    x = 24,365.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.