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Finding the Fourth Proportional to 96,976.62, 133,829.55 and 56,693.82

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Solution

The fourth proportional to 96,976.62, 133,829.55 and 56,693.82 is: 78,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,976.62 : 133,829.55 = 56,693.82 : x
  2. Step 2: Convert to fraction form
    96,976.62/133,829.55 = 56,693.82/x
  3. Step 3: Cross multiply
    96,976.62x = 133,829.55 × 56,693.82
  4. Step 4: Simplify right side
    96,976.62x = 7,587,308,418.38
  5. Step 5: Solve for x
    x = 7,587,308,418.38/96,976.62
  6. Step 6: Final answer
    x = 78,238.53

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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.