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Finding the Fourth Proportional to 82,461.38, 113,796.93 and 44,735.63

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Solution

The fourth proportional to 82,461.38, 113,796.93 and 44,735.63 is: 61,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.38 : 113,796.93 = 44,735.63 : x
  2. Step 2: Convert to fraction form
    82,461.38/113,796.93 = 44,735.63/x
  3. Step 3: Cross multiply
    82,461.38x = 113,796.93 × 44,735.63
  4. Step 4: Simplify right side
    82,461.38x = 5,090,777,355.62
  5. Step 5: Solve for x
    x = 5,090,777,355.62/82,461.38
  6. Step 6: Final answer
    x = 61,735.29

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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.