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Finding the Fourth Proportional to 75,022.52, 103,533.84 and 41,033.32

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Solution

The fourth proportional to 75,022.52, 103,533.84 and 41,033.32 is: 56,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,022.52 : 103,533.84 = 41,033.32 : x
  2. Step 2: Convert to fraction form
    75,022.52/103,533.84 = 41,033.32/x
  3. Step 3: Cross multiply
    75,022.52x = 103,533.84 × 41,033.32
  4. Step 4: Simplify right side
    75,022.52x = 4,248,337,187.55
  5. Step 5: Solve for x
    x = 4,248,337,187.55/75,022.52
  6. Step 6: Final answer
    x = 56,627.49

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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.