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Finding the Fourth Proportional to 31,046.61, 42,844.50 and 16,899.42

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Solution

The fourth proportional to 31,046.61, 42,844.50 and 16,899.42 is: 23,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.61 : 42,844.50 = 16,899.42 : x
  2. Step 2: Convert to fraction form
    31,046.61/42,844.50 = 16,899.42/x
  3. Step 3: Cross multiply
    31,046.61x = 42,844.50 × 16,899.42
  4. Step 4: Simplify right side
    31,046.61x = 724,047,200.19
  5. Step 5: Solve for x
    x = 724,047,200.19/31,046.61
  6. Step 6: Final answer
    x = 23,321.30

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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.