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Finding the Fourth Proportional to 82,461.16, 113,796.66 and 44,735.68

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Solution

The fourth proportional to 82,461.16, 113,796.66 and 44,735.68 is: 61,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.16 : 113,796.66 = 44,735.68 : x
  2. Step 2: Convert to fraction form
    82,461.16/113,796.66 = 44,735.68/x
  3. Step 3: Cross multiply
    82,461.16x = 113,796.66 × 44,735.68
  4. Step 4: Simplify right side
    82,461.16x = 5,090,770,966.83
  5. Step 5: Solve for x
    x = 5,090,770,966.83/82,461.16
  6. Step 6: Final answer
    x = 61,735.38

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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.