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Finding the Fourth Proportional to 33,838.56, 50,762.70 and 10,459.53

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Solution

The fourth proportional to 33,838.56, 50,762.70 and 10,459.53 is: 15,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.56 : 50,762.70 = 10,459.53 : x
  2. Step 2: Convert to fraction form
    33,838.56/50,762.70 = 10,459.53/x
  3. Step 3: Cross multiply
    33,838.56x = 50,762.70 × 10,459.53
  4. Step 4: Simplify right side
    33,838.56x = 530,953,983.53
  5. Step 5: Solve for x
    x = 530,953,983.53/33,838.56
  6. Step 6: Final answer
    x = 15,690.80

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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.