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Finding the Fourth Proportional to 31,078.98, 42,889.02 and 16,931.85

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Solution

The fourth proportional to 31,078.98, 42,889.02 and 16,931.85 is: 23,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.98 : 42,889.02 = 16,931.85 : x
  2. Step 2: Convert to fraction form
    31,078.98/42,889.02 = 16,931.85/x
  3. Step 3: Cross multiply
    31,078.98x = 42,889.02 × 16,931.85
  4. Step 4: Simplify right side
    31,078.98x = 726,190,453.29
  5. Step 5: Solve for x
    x = 726,190,453.29/31,078.98
  6. Step 6: Final answer
    x = 23,365.97

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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.