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Finding the Fourth Proportional to 82,100.77, 113,305.48 and 45,813.62

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Solution

The fourth proportional to 82,100.77, 113,305.48 and 45,813.62 is: 63,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100.77 : 113,305.48 = 45,813.62 : x
  2. Step 2: Convert to fraction form
    82,100.77/113,305.48 = 45,813.62/x
  3. Step 3: Cross multiply
    82,100.77x = 113,305.48 × 45,813.62
  4. Step 4: Simplify right side
    82,100.77x = 5,190,934,204.64
  5. Step 5: Solve for x
    x = 5,190,934,204.64/82,100.77
  6. Step 6: Final answer
    x = 63,226.38

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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.