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Finding the Fourth Proportional to 74,105.68, 102,266.08 and 40,114.15

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Solution

The fourth proportional to 74,105.68, 102,266.08 and 40,114.15 is: 55,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,105.68 : 102,266.08 = 40,114.15 : x
  2. Step 2: Convert to fraction form
    74,105.68/102,266.08 = 40,114.15/x
  3. Step 3: Cross multiply
    74,105.68x = 102,266.08 × 40,114.15
  4. Step 4: Simplify right side
    74,105.68x = 4,102,317,261.56
  5. Step 5: Solve for x
    x = 4,102,317,261.56/74,105.68
  6. Step 6: Final answer
    x = 55,357.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.