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Finding the Fourth Proportional to 34,711.75, 52,061.34 and 9,745.66

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Solution

The fourth proportional to 34,711.75, 52,061.34 and 9,745.66 is: 14,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.75 : 52,061.34 = 9,745.66 : x
  2. Step 2: Convert to fraction form
    34,711.75/52,061.34 = 9,745.66/x
  3. Step 3: Cross multiply
    34,711.75x = 52,061.34 × 9,745.66
  4. Step 4: Simplify right side
    34,711.75x = 507,372,118.78
  5. Step 5: Solve for x
    x = 507,372,118.78/34,711.75
  6. Step 6: Final answer
    x = 14,616.73

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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.