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Finding the Fourth Proportional to 31,047.50, 42,844.29 and 16,900.35

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Solution

The fourth proportional to 31,047.50, 42,844.29 and 16,900.35 is: 23,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.50 : 42,844.29 = 16,900.35 : x
  2. Step 2: Convert to fraction form
    31,047.50/42,844.29 = 16,900.35/x
  3. Step 3: Cross multiply
    31,047.50x = 42,844.29 × 16,900.35
  4. Step 4: Simplify right side
    31,047.50x = 724,083,496.50
  5. Step 5: Solve for x
    x = 724,083,496.50/31,047.50
  6. Step 6: Final answer
    x = 23,321.80

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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.