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Finding the Fourth Proportional to 38,772, 58,160.16 and 11,072.16

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Solution

The fourth proportional to 38,772, 58,160.16 and 11,072.16 is: 16,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772 : 58,160.16 = 11,072.16 : x
  2. Step 2: Convert to fraction form
    38,772/58,160.16 = 11,072.16/x
  3. Step 3: Cross multiply
    38,772x = 58,160.16 × 11,072.16
  4. Step 4: Simplify right side
    38,772x = 643,958,597.15
  5. Step 5: Solve for x
    x = 643,958,597.15/38,772
  6. Step 6: Final answer
    x = 16,608.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.