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Finding the Fourth Proportional to 27,989.42, 41,989.67 and 7,999.10

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Solution

The fourth proportional to 27,989.42, 41,989.67 and 7,999.10 is: 12,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.42 : 41,989.67 = 7,999.10 : x
  2. Step 2: Convert to fraction form
    27,989.42/41,989.67 = 7,999.10/x
  3. Step 3: Cross multiply
    27,989.42x = 41,989.67 × 7,999.10
  4. Step 4: Simplify right side
    27,989.42x = 335,879,569.30
  5. Step 5: Solve for x
    x = 335,879,569.30/27,989.42
  6. Step 6: Final answer
    x = 12,000.23

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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.