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Finding the Fourth Proportional to 90,424, 135,643.38 and 45,422.21

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Solution

The fourth proportional to 90,424, 135,643.38 and 45,422.21 is: 68,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424 : 135,643.38 = 45,422.21 : x
  2. Step 2: Convert to fraction form
    90,424/135,643.38 = 45,422.21/x
  3. Step 3: Cross multiply
    90,424x = 135,643.38 × 45,422.21
  4. Step 4: Simplify right side
    90,424x = 6,161,222,091.47
  5. Step 5: Solve for x
    x = 6,161,222,091.47/90,424
  6. Step 6: Final answer
    x = 68,137.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.