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Finding the Fourth Proportional to 90,132, 135,198.36 and 24,468

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Solution

The fourth proportional to 90,132, 135,198.36 and 24,468 is: 36,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,132 : 135,198.36 = 24,468 : x
  2. Step 2: Convert to fraction form
    90,132/135,198.36 = 24,468/x
  3. Step 3: Cross multiply
    90,132x = 135,198.36 × 24,468
  4. Step 4: Simplify right side
    90,132x = 3,308,033,472.48
  5. Step 5: Solve for x
    x = 3,308,033,472.48/90,132
  6. Step 6: Final answer
    x = 36,702.10

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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.