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Finding the Fourth Proportional to 82,576, 113,956.96 and 44,850.24

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Solution

The fourth proportional to 82,576, 113,956.96 and 44,850.24 is: 61,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576 : 113,956.96 = 44,850.24 : x
  2. Step 2: Convert to fraction form
    82,576/113,956.96 = 44,850.24/x
  3. Step 3: Cross multiply
    82,576x = 113,956.96 × 44,850.24
  4. Step 4: Simplify right side
    82,576x = 5,110,997,005.67
  5. Step 5: Solve for x
    x = 5,110,997,005.67/82,576
  6. Step 6: Final answer
    x = 61,894.46

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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.