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Finding the Fourth Proportional to 47,066, 70,584.02 and 15,468.78

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Solution

The fourth proportional to 47,066, 70,584.02 and 15,468.78 is: 23,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066 : 70,584.02 = 15,468.78 : x
  2. Step 2: Convert to fraction form
    47,066/70,584.02 = 15,468.78/x
  3. Step 3: Cross multiply
    47,066x = 70,584.02 × 15,468.78
  4. Step 4: Simplify right side
    47,066x = 1,091,848,676.90
  5. Step 5: Solve for x
    x = 1,091,848,676.90/47,066
  6. Step 6: Final answer
    x = 23,198.25

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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.