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Finding the Fourth Proportional to 83,271.75, 114,912.16 and 47,473.30

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Solution

The fourth proportional to 83,271.75, 114,912.16 and 47,473.30 is: 65,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.75 : 114,912.16 = 47,473.30 : x
  2. Step 2: Convert to fraction form
    83,271.75/114,912.16 = 47,473.30/x
  3. Step 3: Cross multiply
    83,271.75x = 114,912.16 × 47,473.30
  4. Step 4: Simplify right side
    83,271.75x = 5,455,259,445.33
  5. Step 5: Solve for x
    x = 5,455,259,445.33/83,271.75
  6. Step 6: Final answer
    x = 65,511.53

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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.