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Finding the Fourth Proportional to 31,077.99, 42,887.63 and 16,930.84

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Solution

The fourth proportional to 31,077.99, 42,887.63 and 16,930.84 is: 23,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.99 : 42,887.63 = 16,930.84 : x
  2. Step 2: Convert to fraction form
    31,077.99/42,887.63 = 16,930.84/x
  3. Step 3: Cross multiply
    31,077.99x = 42,887.63 × 16,930.84
  4. Step 4: Simplify right side
    31,077.99x = 726,123,601.51
  5. Step 5: Solve for x
    x = 726,123,601.51/31,077.99
  6. Step 6: Final answer
    x = 23,364.56

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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.