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Finding the Fourth Proportional to 34,705.56, 52,057.89 and 8,410.53

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Solution

The fourth proportional to 34,705.56, 52,057.89 and 8,410.53 is: 12,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705.56 : 52,057.89 = 8,410.53 : x
  2. Step 2: Convert to fraction form
    34,705.56/52,057.89 = 8,410.53/x
  3. Step 3: Cross multiply
    34,705.56x = 52,057.89 × 8,410.53
  4. Step 4: Simplify right side
    34,705.56x = 437,834,640.80
  5. Step 5: Solve for x
    x = 437,834,640.80/34,705.56
  6. Step 6: Final answer
    x = 12,615.69

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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.