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Finding the Fourth Proportional to 84,415.44, 126,641.88 and 31,825.38

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Solution

The fourth proportional to 84,415.44, 126,641.88 and 31,825.38 is: 47,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.44 : 126,641.88 = 31,825.38 : x
  2. Step 2: Convert to fraction form
    84,415.44/126,641.88 = 31,825.38/x
  3. Step 3: Cross multiply
    84,415.44x = 126,641.88 × 31,825.38
  4. Step 4: Simplify right side
    84,415.44x = 4,030,425,954.91
  5. Step 5: Solve for x
    x = 4,030,425,954.91/84,415.44
  6. Step 6: Final answer
    x = 47,745.13

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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.