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Finding the Fourth Proportional to 47,677.38, 65,806.87 and 32,576.14

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Solution

The fourth proportional to 47,677.38, 65,806.87 and 32,576.14 is: 44,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.38 : 65,806.87 = 32,576.14 : x
  2. Step 2: Convert to fraction form
    47,677.38/65,806.87 = 32,576.14/x
  3. Step 3: Cross multiply
    47,677.38x = 65,806.87 × 32,576.14
  4. Step 4: Simplify right side
    47,677.38x = 2,143,733,810.08
  5. Step 5: Solve for x
    x = 2,143,733,810.08/47,677.38
  6. Step 6: Final answer
    x = 44,963.33

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Why These Related Problems?

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