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Finding the Fourth Proportional to 31,087.78, 42,901.14 and 16,940.63

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Solution

The fourth proportional to 31,087.78, 42,901.14 and 16,940.63 is: 23,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.78 : 42,901.14 = 16,940.63 : x
  2. Step 2: Convert to fraction form
    31,087.78/42,901.14 = 16,940.63/x
  3. Step 3: Cross multiply
    31,087.78x = 42,901.14 × 16,940.63
  4. Step 4: Simplify right side
    31,087.78x = 726,772,188.34
  5. Step 5: Solve for x
    x = 726,772,188.34/31,087.78
  6. Step 6: Final answer
    x = 23,378.07

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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.