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Finding the Fourth Proportional to 27,015.54, 40,541.41 and 9,485.42

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Solution

The fourth proportional to 27,015.54, 40,541.41 and 9,485.42 is: 14,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015.54 : 40,541.41 = 9,485.42 : x
  2. Step 2: Convert to fraction form
    27,015.54/40,541.41 = 9,485.42/x
  3. Step 3: Cross multiply
    27,015.54x = 40,541.41 × 9,485.42
  4. Step 4: Simplify right side
    27,015.54x = 384,552,301.24
  5. Step 5: Solve for x
    x = 384,552,301.24/27,015.54
  6. Step 6: Final answer
    x = 14,234.49

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Why These Related Problems?

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