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Finding the Fourth Proportional to 31,055.98, 42,857.50 and 16,908.82

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Solution

The fourth proportional to 31,055.98, 42,857.50 and 16,908.82 is: 23,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.98 : 42,857.50 = 16,908.82 : x
  2. Step 2: Convert to fraction form
    31,055.98/42,857.50 = 16,908.82/x
  3. Step 3: Cross multiply
    31,055.98x = 42,857.50 × 16,908.82
  4. Step 4: Simplify right side
    31,055.98x = 724,669,753.15
  5. Step 5: Solve for x
    x = 724,669,753.15/31,055.98
  6. Step 6: Final answer
    x = 23,334.31

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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.