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Finding the Fourth Proportional to 50,533.62, 75,800.64 and 13,091.03

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Solution

The fourth proportional to 50,533.62, 75,800.64 and 13,091.03 is: 19,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,533.62 : 75,800.64 = 13,091.03 : x
  2. Step 2: Convert to fraction form
    50,533.62/75,800.64 = 13,091.03/x
  3. Step 3: Cross multiply
    50,533.62x = 75,800.64 × 13,091.03
  4. Step 4: Simplify right side
    50,533.62x = 992,308,073.26
  5. Step 5: Solve for x
    x = 992,308,073.26/50,533.62
  6. Step 6: Final answer
    x = 19,636.59

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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.