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Finding the Fourth Proportional to 82,461.62, 113,796.80 and 44,735.88

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Solution

The fourth proportional to 82,461.62, 113,796.80 and 44,735.88 is: 61,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.62 : 113,796.80 = 44,735.88 : x
  2. Step 2: Convert to fraction form
    82,461.62/113,796.80 = 44,735.88/x
  3. Step 3: Cross multiply
    82,461.62x = 113,796.80 × 44,735.88
  4. Step 4: Simplify right side
    82,461.62x = 5,090,799,989.18
  5. Step 5: Solve for x
    x = 5,090,799,989.18/82,461.62
  6. Step 6: Final answer
    x = 61,735.39

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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.