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Finding the Fourth Proportional to 82,153.44, 113,371.38 and 44,427.69

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Solution

The fourth proportional to 82,153.44, 113,371.38 and 44,427.69 is: 61,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,153.44 : 113,371.38 = 44,427.69 : x
  2. Step 2: Convert to fraction form
    82,153.44/113,371.38 = 44,427.69/x
  3. Step 3: Cross multiply
    82,153.44x = 113,371.38 × 44,427.69
  4. Step 4: Simplify right side
    82,153.44x = 5,036,828,525.51
  5. Step 5: Solve for x
    x = 5,036,828,525.51/82,153.44
  6. Step 6: Final answer
    x = 61,310.01

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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.