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Finding the Fourth Proportional to 31,047.20, 42,843.84 and 16,899.20

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Solution

The fourth proportional to 31,047.20, 42,843.84 and 16,899.20 is: 23,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.20 : 42,843.84 = 16,899.20 : x
  2. Step 2: Convert to fraction form
    31,047.20/42,843.84 = 16,899.20/x
  3. Step 3: Cross multiply
    31,047.20x = 42,843.84 × 16,899.20
  4. Step 4: Simplify right side
    31,047.20x = 724,026,620.93
  5. Step 5: Solve for x
    x = 724,026,620.93/31,047.20
  6. Step 6: Final answer
    x = 23,320.19

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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.