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Finding the Fourth Proportional to 31,047.87, 42,846.12 and 16,900.68

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Solution

The fourth proportional to 31,047.87, 42,846.12 and 16,900.68 is: 23,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.87 : 42,846.12 = 16,900.68 : x
  2. Step 2: Convert to fraction form
    31,047.87/42,846.12 = 16,900.68/x
  3. Step 3: Cross multiply
    31,047.87x = 42,846.12 × 16,900.68
  4. Step 4: Simplify right side
    31,047.87x = 724,128,563.36
  5. Step 5: Solve for x
    x = 724,128,563.36/31,047.87
  6. Step 6: Final answer
    x = 23,322.97

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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.