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Finding the Fourth Proportional to 76,356.82, 114,479.85 and 51,334.84

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Solution

The fourth proportional to 76,356.82, 114,479.85 and 51,334.84 is: 76,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356.82 : 114,479.85 = 51,334.84 : x
  2. Step 2: Convert to fraction form
    76,356.82/114,479.85 = 51,334.84/x
  3. Step 3: Cross multiply
    76,356.82x = 114,479.85 × 51,334.84
  4. Step 4: Simplify right side
    76,356.82x = 5,876,804,782.97
  5. Step 5: Solve for x
    x = 5,876,804,782.97/76,356.82
  6. Step 6: Final answer
    x = 76,965.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.