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Finding the Fourth Proportional to 96,206.52, 132,754.71 and 55,911.86

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Solution

The fourth proportional to 96,206.52, 132,754.71 and 55,911.86 is: 77,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,206.52 : 132,754.71 = 55,911.86 : x
  2. Step 2: Convert to fraction form
    96,206.52/132,754.71 = 55,911.86/x
  3. Step 3: Cross multiply
    96,206.52x = 132,754.71 × 55,911.86
  4. Step 4: Simplify right side
    96,206.52x = 7,422,562,759.86
  5. Step 5: Solve for x
    x = 7,422,562,759.86/96,206.52
  6. Step 6: Final answer
    x = 77,152.39

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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.