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Finding the Fourth Proportional to 76,628.24, 105,745.94 and 43,094.24

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Solution

The fourth proportional to 76,628.24, 105,745.94 and 43,094.24 is: 59,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,628.24 : 105,745.94 = 43,094.24 : x
  2. Step 2: Convert to fraction form
    76,628.24/105,745.94 = 43,094.24/x
  3. Step 3: Cross multiply
    76,628.24x = 105,745.94 × 43,094.24
  4. Step 4: Simplify right side
    76,628.24x = 4,557,040,173.18
  5. Step 5: Solve for x
    x = 4,557,040,173.18/76,628.24
  6. Step 6: Final answer
    x = 59,469.47

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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.