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Finding the Fourth Proportional to 31,055.32, 42,857.22 and 16,908.40

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Solution

The fourth proportional to 31,055.32, 42,857.22 and 16,908.40 is: 23,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.32 : 42,857.22 = 16,908.40 : x
  2. Step 2: Convert to fraction form
    31,055.32/42,857.22 = 16,908.40/x
  3. Step 3: Cross multiply
    31,055.32x = 42,857.22 × 16,908.40
  4. Step 4: Simplify right side
    31,055.32x = 724,647,018.65
  5. Step 5: Solve for x
    x = 724,647,018.65/31,055.32
  6. Step 6: Final answer
    x = 23,334.07

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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.