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Finding the Fourth Proportional to 34,705.44, 52,057.22 and 9,745.70

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Solution

The fourth proportional to 34,705.44, 52,057.22 and 9,745.70 is: 14,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705.44 : 52,057.22 = 9,745.70 : x
  2. Step 2: Convert to fraction form
    34,705.44/52,057.22 = 9,745.70/x
  3. Step 3: Cross multiply
    34,705.44x = 52,057.22 × 9,745.70
  4. Step 4: Simplify right side
    34,705.44x = 507,333,739.94
  5. Step 5: Solve for x
    x = 507,333,739.94/34,705.44
  6. Step 6: Final answer
    x = 14,618.28

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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.