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Finding the Fourth Proportional to 31,047.68, 42,844.46 and 16,900.50

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Solution

The fourth proportional to 31,047.68, 42,844.46 and 16,900.50 is: 23,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.68 : 42,844.46 = 16,900.50 : x
  2. Step 2: Convert to fraction form
    31,047.68/42,844.46 = 16,900.50/x
  3. Step 3: Cross multiply
    31,047.68x = 42,844.46 × 16,900.50
  4. Step 4: Simplify right side
    31,047.68x = 724,092,796.23
  5. Step 5: Solve for x
    x = 724,092,796.23/31,047.68
  6. Step 6: Final answer
    x = 23,321.96

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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.