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Finding the Fourth Proportional to 84,460.44, 126,724.50 and 31,884.84

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Solution

The fourth proportional to 84,460.44, 126,724.50 and 31,884.84 is: 47,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460.44 : 126,724.50 = 31,884.84 : x
  2. Step 2: Convert to fraction form
    84,460.44/126,724.50 = 31,884.84/x
  3. Step 3: Cross multiply
    84,460.44x = 126,724.50 × 31,884.84
  4. Step 4: Simplify right side
    84,460.44x = 4,040,590,406.58
  5. Step 5: Solve for x
    x = 4,040,590,406.58/84,460.44
  6. Step 6: Final answer
    x = 47,840.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.