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Finding the Fourth Proportional to 27,756.05, 41,639.54 and 8,034.77

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Solution

The fourth proportional to 27,756.05, 41,639.54 and 8,034.77 is: 12,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756.05 : 41,639.54 = 8,034.77 : x
  2. Step 2: Convert to fraction form
    27,756.05/41,639.54 = 8,034.77/x
  3. Step 3: Cross multiply
    27,756.05x = 41,639.54 × 8,034.77
  4. Step 4: Simplify right side
    27,756.05x = 334,564,086.63
  5. Step 5: Solve for x
    x = 334,564,086.63/27,756.05
  6. Step 6: Final answer
    x = 12,053.74

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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.