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Finding the Fourth Proportional to 82,441.38, 113,769.12 and 46,630.62

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Solution

The fourth proportional to 82,441.38, 113,769.12 and 46,630.62 is: 64,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,441.38 : 113,769.12 = 46,630.62 : x
  2. Step 2: Convert to fraction form
    82,441.38/113,769.12 = 46,630.62/x
  3. Step 3: Cross multiply
    82,441.38x = 113,769.12 × 46,630.62
  4. Step 4: Simplify right side
    82,441.38x = 5,305,124,602.45
  5. Step 5: Solve for x
    x = 5,305,124,602.45/82,441.38
  6. Step 6: Final answer
    x = 64,350.26

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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.