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Finding the Fourth Proportional to 82,443.75, 113,772.38 and 46,632.99

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Solution

The fourth proportional to 82,443.75, 113,772.38 and 46,632.99 is: 64,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,443.75 : 113,772.38 = 46,632.99 : x
  2. Step 2: Convert to fraction form
    82,443.75/113,772.38 = 46,632.99/x
  3. Step 3: Cross multiply
    82,443.75x = 113,772.38 × 46,632.99
  4. Step 4: Simplify right side
    82,443.75x = 5,305,546,258.82
  5. Step 5: Solve for x
    x = 5,305,546,258.82/82,443.75
  6. Step 6: Final answer
    x = 64,353.53

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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.