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Finding the Fourth Proportional to 76,716.54, 105,866.55 and 43,181.82

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Solution

The fourth proportional to 76,716.54, 105,866.55 and 43,181.82 is: 59,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.54 : 105,866.55 = 43,181.82 : x
  2. Step 2: Convert to fraction form
    76,716.54/105,866.55 = 43,181.82/x
  3. Step 3: Cross multiply
    76,716.54x = 105,866.55 × 43,181.82
  4. Step 4: Simplify right side
    76,716.54x = 4,571,510,306.12
  5. Step 5: Solve for x
    x = 4,571,510,306.12/76,716.54
  6. Step 6: Final answer
    x = 59,589.63

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1.5x scale

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.