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Finding the Fourth Proportional to 47,563.44, 71,415.04 and 46,723.48

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Solution

The fourth proportional to 47,563.44, 71,415.04 and 46,723.48 is: 70,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,563.44 : 71,415.04 = 46,723.48 : x
  2. Step 2: Convert to fraction form
    47,563.44/71,415.04 = 46,723.48/x
  3. Step 3: Cross multiply
    47,563.44x = 71,415.04 × 46,723.48
  4. Step 4: Simplify right side
    47,563.44x = 3,336,759,193.14
  5. Step 5: Solve for x
    x = 3,336,759,193.14/47,563.44
  6. Step 6: Final answer
    x = 70,153.87

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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.