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Finding the Fourth Proportional to 31,021, 42,808.42 and 16,873.64

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Solution

The fourth proportional to 31,021, 42,808.42 and 16,873.64 is: 23,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021 : 42,808.42 = 16,873.64 : x
  2. Step 2: Convert to fraction form
    31,021/42,808.42 = 16,873.64/x
  3. Step 3: Cross multiply
    31,021x = 42,808.42 × 16,873.64
  4. Step 4: Simplify right side
    31,021x = 722,333,868.05
  5. Step 5: Solve for x
    x = 722,333,868.05/31,021
  6. Step 6: Final answer
    x = 23,285.32

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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.