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Finding the Fourth Proportional to 68,154.41, 102,225.74 and 41,493.50

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Solution

The fourth proportional to 68,154.41, 102,225.74 and 41,493.50 is: 62,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154.41 : 102,225.74 = 41,493.50 : x
  2. Step 2: Convert to fraction form
    68,154.41/102,225.74 = 41,493.50/x
  3. Step 3: Cross multiply
    68,154.41x = 102,225.74 × 41,493.50
  4. Step 4: Simplify right side
    68,154.41x = 4,241,703,463.08
  5. Step 5: Solve for x
    x = 4,241,703,463.08/68,154.41
  6. Step 6: Final answer
    x = 62,236.67

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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.