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Finding the Fourth Proportional to 51,424.53, 70,944.96 and 33,513

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Solution

The fourth proportional to 51,424.53, 70,944.96 and 33,513 is: 46,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.53 : 70,944.96 = 33,513 : x
  2. Step 2: Convert to fraction form
    51,424.53/70,944.96 = 33,513/x
  3. Step 3: Cross multiply
    51,424.53x = 70,944.96 × 33,513
  4. Step 4: Simplify right side
    51,424.53x = 2,377,578,444.48
  5. Step 5: Solve for x
    x = 2,377,578,444.48/51,424.53
  6. Step 6: Final answer
    x = 46,234.33

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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.