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Finding the Fourth Proportional to 96,898.26, 133,721.62 and 54,459.52

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Solution

The fourth proportional to 96,898.26, 133,721.62 and 54,459.52 is: 75,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898.26 : 133,721.62 = 54,459.52 : x
  2. Step 2: Convert to fraction form
    96,898.26/133,721.62 = 54,459.52/x
  3. Step 3: Cross multiply
    96,898.26x = 133,721.62 × 54,459.52
  4. Step 4: Simplify right side
    96,898.26x = 7,282,415,238.82
  5. Step 5: Solve for x
    x = 7,282,415,238.82/96,898.26
  6. Step 6: Final answer
    x = 75,155.27

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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.