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Finding the Fourth Proportional to 68,153.84, 102,102.18 and 34,895

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Solution

The fourth proportional to 68,153.84, 102,102.18 and 34,895 is: 52,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,153.84 : 102,102.18 = 34,895 : x
  2. Step 2: Convert to fraction form
    68,153.84/102,102.18 = 34,895/x
  3. Step 3: Cross multiply
    68,153.84x = 102,102.18 × 34,895
  4. Step 4: Simplify right side
    68,153.84x = 3,562,855,571.10
  5. Step 5: Solve for x
    x = 3,562,855,571.10/68,153.84
  6. Step 6: Final answer
    x = 52,276.67

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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.