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Finding the Fourth Proportional to 31,047.02, 42,843.38 and 16,899.02

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Solution

The fourth proportional to 31,047.02, 42,843.38 and 16,899.02 is: 23,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.02 : 42,843.38 = 16,899.02 : x
  2. Step 2: Convert to fraction form
    31,047.02/42,843.38 = 16,899.02/x
  3. Step 3: Cross multiply
    31,047.02x = 42,843.38 × 16,899.02
  4. Step 4: Simplify right side
    31,047.02x = 724,011,135.49
  5. Step 5: Solve for x
    x = 724,011,135.49/31,047.02
  6. Step 6: Final answer
    x = 23,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.