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Finding the Fourth Proportional to 64,516.83, 96,731.02 and 32,865.60

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Solution

The fourth proportional to 64,516.83, 96,731.02 and 32,865.60 is: 49,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516.83 : 96,731.02 = 32,865.60 : x
  2. Step 2: Convert to fraction form
    64,516.83/96,731.02 = 32,865.60/x
  3. Step 3: Cross multiply
    64,516.83x = 96,731.02 × 32,865.60
  4. Step 4: Simplify right side
    64,516.83x = 3,179,123,010.91
  5. Step 5: Solve for x
    x = 3,179,123,010.91/64,516.83
  6. Step 6: Final answer
    x = 49,275.87

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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.