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Finding the Fourth Proportional to 82,093.77, 113,289.44 and 44,368.02

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Solution

The fourth proportional to 82,093.77, 113,289.44 and 44,368.02 is: 61,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,093.77 : 113,289.44 = 44,368.02 : x
  2. Step 2: Convert to fraction form
    82,093.77/113,289.44 = 44,368.02/x
  3. Step 3: Cross multiply
    82,093.77x = 113,289.44 × 44,368.02
  4. Step 4: Simplify right side
    82,093.77x = 5,026,427,917.87
  5. Step 5: Solve for x
    x = 5,026,427,917.87/82,093.77
  6. Step 6: Final answer
    x = 61,227.89

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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.