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Finding the Fourth Proportional to 27,825.48, 41,737.61 and 6,765.63

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Solution

The fourth proportional to 27,825.48, 41,737.61 and 6,765.63 is: 10,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.48 : 41,737.61 = 6,765.63 : x
  2. Step 2: Convert to fraction form
    27,825.48/41,737.61 = 6,765.63/x
  3. Step 3: Cross multiply
    27,825.48x = 41,737.61 × 6,765.63
  4. Step 4: Simplify right side
    27,825.48x = 282,381,192.52
  5. Step 5: Solve for x
    x = 282,381,192.52/27,825.48
  6. Step 6: Final answer
    x = 10,148.30

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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.