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Finding the Fourth Proportional to 27,835.48, 41,754.32 and 7,059.52

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Solution

The fourth proportional to 27,835.48, 41,754.32 and 7,059.52 is: 10,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.48 : 41,754.32 = 7,059.52 : x
  2. Step 2: Convert to fraction form
    27,835.48/41,754.32 = 7,059.52/x
  3. Step 3: Cross multiply
    27,835.48x = 41,754.32 × 7,059.52
  4. Step 4: Simplify right side
    27,835.48x = 294,765,457.13
  5. Step 5: Solve for x
    x = 294,765,457.13/27,835.48
  6. Step 6: Final answer
    x = 10,589.56

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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.