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Finding the Fourth Proportional to 27,608.02, 41,416.90 and 10,102.30

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Solution

The fourth proportional to 27,608.02, 41,416.90 and 10,102.30 is: 15,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.02 : 41,416.90 = 10,102.30 : x
  2. Step 2: Convert to fraction form
    27,608.02/41,416.90 = 10,102.30/x
  3. Step 3: Cross multiply
    27,608.02x = 41,416.90 × 10,102.30
  4. Step 4: Simplify right side
    27,608.02x = 418,405,948.87
  5. Step 5: Solve for x
    x = 418,405,948.87/27,608.02
  6. Step 6: Final answer
    x = 15,155.23

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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.