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Finding the Fourth Proportional to 31,047.66, 42,844.68 and 16,900.20

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Solution

The fourth proportional to 31,047.66, 42,844.68 and 16,900.20 is: 23,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.66 : 42,844.68 = 16,900.20 : x
  2. Step 2: Convert to fraction form
    31,047.66/42,844.68 = 16,900.20/x
  3. Step 3: Cross multiply
    31,047.66x = 42,844.68 × 16,900.20
  4. Step 4: Simplify right side
    31,047.66x = 724,083,660.94
  5. Step 5: Solve for x
    x = 724,083,660.94/31,047.66
  6. Step 6: Final answer
    x = 23,321.68

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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.