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Finding the Fourth Proportional to 47,871.30, 65,993.94 and 33,680.10

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Solution

The fourth proportional to 47,871.30, 65,993.94 and 33,680.10 is: 46,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871.30 : 65,993.94 = 33,680.10 : x
  2. Step 2: Convert to fraction form
    47,871.30/65,993.94 = 33,680.10/x
  3. Step 3: Cross multiply
    47,871.30x = 65,993.94 × 33,680.10
  4. Step 4: Simplify right side
    47,871.30x = 2,222,682,498.59
  5. Step 5: Solve for x
    x = 2,222,682,498.59/47,871.30
  6. Step 6: Final answer
    x = 46,430.38

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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.