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Finding the Fourth Proportional to 37,966, 52,394.16 and 21,200.08

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Solution

The fourth proportional to 37,966, 52,394.16 and 21,200.08 is: 29,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966 : 52,394.16 = 21,200.08 : x
  2. Step 2: Convert to fraction form
    37,966/52,394.16 = 21,200.08/x
  3. Step 3: Cross multiply
    37,966x = 52,394.16 × 21,200.08
  4. Step 4: Simplify right side
    37,966x = 1,110,760,383.53
  5. Step 5: Solve for x
    x = 1,110,760,383.53/37,966
  6. Step 6: Final answer
    x = 29,256.71

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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.