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Finding the Fourth Proportional to 31,144.88, 42,979.96 and 16,998

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Solution

The fourth proportional to 31,144.88, 42,979.96 and 16,998 is: 23,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.88 : 42,979.96 = 16,998 : x
  2. Step 2: Convert to fraction form
    31,144.88/42,979.96 = 16,998/x
  3. Step 3: Cross multiply
    31,144.88x = 42,979.96 × 16,998
  4. Step 4: Simplify right side
    31,144.88x = 730,573,360.08
  5. Step 5: Solve for x
    x = 730,573,360.08/31,144.88
  6. Step 6: Final answer
    x = 23,457.25

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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.