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Finding the Fourth Proportional to 74,035.68, 102,168.36 and 42,204.48

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Solution

The fourth proportional to 74,035.68, 102,168.36 and 42,204.48 is: 58,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,035.68 : 102,168.36 = 42,204.48 : x
  2. Step 2: Convert to fraction form
    74,035.68/102,168.36 = 42,204.48/x
  3. Step 3: Cross multiply
    74,035.68x = 102,168.36 × 42,204.48
  4. Step 4: Simplify right side
    74,035.68x = 4,311,962,506.25
  5. Step 5: Solve for x
    x = 4,311,962,506.25/74,035.68
  6. Step 6: Final answer
    x = 58,241.68

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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.