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Finding the Fourth Proportional to 33,825.60, 50,738.40 and 10,459.20

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Solution

The fourth proportional to 33,825.60, 50,738.40 and 10,459.20 is: 15,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.60 : 50,738.40 = 10,459.20 : x
  2. Step 2: Convert to fraction form
    33,825.60/50,738.40 = 10,459.20/x
  3. Step 3: Cross multiply
    33,825.60x = 50,738.40 × 10,459.20
  4. Step 4: Simplify right side
    33,825.60x = 530,683,073.28
  5. Step 5: Solve for x
    x = 530,683,073.28/33,825.60
  6. Step 6: Final answer
    x = 15,688.80

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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.