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Finding the Fourth Proportional to 82,497.54, 113,845.68 and 46,199.31

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Solution

The fourth proportional to 82,497.54, 113,845.68 and 46,199.31 is: 63,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.54 : 113,845.68 = 46,199.31 : x
  2. Step 2: Convert to fraction form
    82,497.54/113,845.68 = 46,199.31/x
  3. Step 3: Cross multiply
    82,497.54x = 113,845.68 × 46,199.31
  4. Step 4: Simplify right side
    82,497.54x = 5,259,591,862.48
  5. Step 5: Solve for x
    x = 5,259,591,862.48/82,497.54
  6. Step 6: Final answer
    x = 63,754.53

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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.