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Finding the Fourth Proportional to 50,533.74, 69,743.02 and 42,021.22

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Solution

The fourth proportional to 50,533.74, 69,743.02 and 42,021.22 is: 57,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,533.74 : 69,743.02 = 42,021.22 : x
  2. Step 2: Convert to fraction form
    50,533.74/69,743.02 = 42,021.22/x
  3. Step 3: Cross multiply
    50,533.74x = 69,743.02 × 42,021.22
  4. Step 4: Simplify right side
    50,533.74x = 2,930,686,786.88
  5. Step 5: Solve for x
    x = 2,930,686,786.88/50,533.74
  6. Step 6: Final answer
    x = 57,994.65

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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.