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Finding the Fourth Proportional to 96,219.38, 132,782.94 and 64,464.14

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Solution

The fourth proportional to 96,219.38, 132,782.94 and 64,464.14 is: 88,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,219.38 : 132,782.94 = 64,464.14 : x
  2. Step 2: Convert to fraction form
    96,219.38/132,782.94 = 64,464.14/x
  3. Step 3: Cross multiply
    96,219.38x = 132,782.94 × 64,464.14
  4. Step 4: Simplify right side
    96,219.38x = 8,559,737,369.86
  5. Step 5: Solve for x
    x = 8,559,737,369.86/96,219.38
  6. Step 6: Final answer
    x = 88,960.64

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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.