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Finding the Fourth Proportional to 96,311.52, 132,907.34 and 53,289.88

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Solution

The fourth proportional to 96,311.52, 132,907.34 and 53,289.88 is: 73,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,311.52 : 132,907.34 = 53,289.88 : x
  2. Step 2: Convert to fraction form
    96,311.52/132,907.34 = 53,289.88/x
  3. Step 3: Cross multiply
    96,311.52x = 132,907.34 × 53,289.88
  4. Step 4: Simplify right side
    96,311.52x = 7,082,616,199.72
  5. Step 5: Solve for x
    x = 7,082,616,199.72/96,311.52
  6. Step 6: Final answer
    x = 73,538.62

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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.