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Finding the Fourth Proportional to 38,076.57, 57,113.08 and 9,996.01

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Solution

The fourth proportional to 38,076.57, 57,113.08 and 9,996.01 is: 14,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.57 : 57,113.08 = 9,996.01 : x
  2. Step 2: Convert to fraction form
    38,076.57/57,113.08 = 9,996.01/x
  3. Step 3: Cross multiply
    38,076.57x = 57,113.08 × 9,996.01
  4. Step 4: Simplify right side
    38,076.57x = 570,902,751.04
  5. Step 5: Solve for x
    x = 570,902,751.04/38,076.57
  6. Step 6: Final answer
    x = 14,993.54

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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.