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Finding the Fourth Proportional to 82,443.25, 113,771.69 and 46,632.49

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Solution

The fourth proportional to 82,443.25, 113,771.69 and 46,632.49 is: 64,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,443.25 : 113,771.69 = 46,632.49 : x
  2. Step 2: Convert to fraction form
    82,443.25/113,771.69 = 46,632.49/x
  3. Step 3: Cross multiply
    82,443.25x = 113,771.69 × 46,632.49
  4. Step 4: Simplify right side
    82,443.25x = 5,305,457,196.21
  5. Step 5: Solve for x
    x = 5,305,457,196.21/82,443.25
  6. Step 6: Final answer
    x = 64,352.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.