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Finding the Fourth Proportional to 31,202.56, 43,046.64 and 21,776.64

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Solution

The fourth proportional to 31,202.56, 43,046.64 and 21,776.64 is: 30,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.56 : 43,046.64 = 21,776.64 : x
  2. Step 2: Convert to fraction form
    31,202.56/43,046.64 = 21,776.64/x
  3. Step 3: Cross multiply
    31,202.56x = 43,046.64 × 21,776.64
  4. Step 4: Simplify right side
    31,202.56x = 937,411,182.49
  5. Step 5: Solve for x
    x = 937,411,182.49/31,202.56
  6. Step 6: Final answer
    x = 30,042.77

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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.