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Finding the Fourth Proportional to 96,942.68, 133,726.26 and 56,647.88

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Solution

The fourth proportional to 96,942.68, 133,726.26 and 56,647.88 is: 78,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,942.68 : 133,726.26 = 56,647.88 : x
  2. Step 2: Convert to fraction form
    96,942.68/133,726.26 = 56,647.88/x
  3. Step 3: Cross multiply
    96,942.68x = 133,726.26 × 56,647.88
  4. Step 4: Simplify right side
    96,942.68x = 7,575,309,129.33
  5. Step 5: Solve for x
    x = 7,575,309,129.33/96,942.68
  6. Step 6: Final answer
    x = 78,142.15

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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.