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Finding the Fourth Proportional to 74,453.12, 102,745.32 and 40,919.12

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Solution

The fourth proportional to 74,453.12, 102,745.32 and 40,919.12 is: 56,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,453.12 : 102,745.32 = 40,919.12 : x
  2. Step 2: Convert to fraction form
    74,453.12/102,745.32 = 40,919.12/x
  3. Step 3: Cross multiply
    74,453.12x = 102,745.32 × 40,919.12
  4. Step 4: Simplify right side
    74,453.12x = 4,204,248,078.52
  5. Step 5: Solve for x
    x = 4,204,248,078.52/74,453.12
  6. Step 6: Final answer
    x = 56,468.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.