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Finding the Fourth Proportional to 102,408.49, 153,612.74 and 40,035.25

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Solution

The fourth proportional to 102,408.49, 153,612.74 and 40,035.25 is: 60,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.49 : 153,612.74 = 40,035.25 : x
  2. Step 2: Convert to fraction form
    102,408.49/153,612.74 = 40,035.25/x
  3. Step 3: Cross multiply
    102,408.49x = 153,612.74 × 40,035.25
  4. Step 4: Simplify right side
    102,408.49x = 6,149,924,449.09
  5. Step 5: Solve for x
    x = 6,149,924,449.09/102,408.49
  6. Step 6: Final answer
    x = 60,052.88

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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.