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Finding the Fourth Proportional to 47,658.77, 65,772.22 and 27,516.50

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Solution

The fourth proportional to 47,658.77, 65,772.22 and 27,516.50 is: 37,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.77 : 65,772.22 = 27,516.50 : x
  2. Step 2: Convert to fraction form
    47,658.77/65,772.22 = 27,516.50/x
  3. Step 3: Cross multiply
    47,658.77x = 65,772.22 × 27,516.50
  4. Step 4: Simplify right side
    47,658.77x = 1,809,821,291.63
  5. Step 5: Solve for x
    x = 1,809,821,291.63/47,658.77
  6. Step 6: Final answer
    x = 37,974.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.