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Finding the Fourth Proportional to 31,009, 42,792.42 and 16,861.82

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Solution

The fourth proportional to 31,009, 42,792.42 and 16,861.82 is: 23,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009 : 42,792.42 = 16,861.82 : x
  2. Step 2: Convert to fraction form
    31,009/42,792.42 = 16,861.82/x
  3. Step 3: Cross multiply
    31,009x = 42,792.42 × 16,861.82
  4. Step 4: Simplify right side
    31,009x = 721,558,083.40
  5. Step 5: Solve for x
    x = 721,558,083.40/31,009
  6. Step 6: Final answer
    x = 23,269.31

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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.