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Finding the Fourth Proportional to 52,147.72, 78,094.01 and 47,093.33

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Solution

The fourth proportional to 52,147.72, 78,094.01 and 47,093.33 is: 70,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.72 : 78,094.01 = 47,093.33 : x
  2. Step 2: Convert to fraction form
    52,147.72/78,094.01 = 47,093.33/x
  3. Step 3: Cross multiply
    52,147.72x = 78,094.01 × 47,093.33
  4. Step 4: Simplify right side
    52,147.72x = 3,677,706,702.56
  5. Step 5: Solve for x
    x = 3,677,706,702.56/52,147.72
  6. Step 6: Final answer
    x = 70,524.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.