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Finding the Fourth Proportional to 36,390.32, 54,586.56 and 10,097

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Solution

The fourth proportional to 36,390.32, 54,586.56 and 10,097 is: 15,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,390.32 : 54,586.56 = 10,097 : x
  2. Step 2: Convert to fraction form
    36,390.32/54,586.56 = 10,097/x
  3. Step 3: Cross multiply
    36,390.32x = 54,586.56 × 10,097
  4. Step 4: Simplify right side
    36,390.32x = 551,160,496.32
  5. Step 5: Solve for x
    x = 551,160,496.32/36,390.32
  6. Step 6: Final answer
    x = 15,145.80

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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.