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Finding the Fourth Proportional to 90,246, 135,369 and 24,582

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Solution

The fourth proportional to 90,246, 135,369 and 24,582 is: 36,873

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,246 : 135,369 = 24,582 : x
  2. Step 2: Convert to fraction form
    90,246/135,369 = 24,582/x
  3. Step 3: Cross multiply
    90,246x = 135,369 × 24,582
  4. Step 4: Simplify right side
    90,246x = 3,327,640,758
  5. Step 5: Solve for x
    x = 3,327,640,758/90,246
  6. Step 6: Final answer
    x = 36,873

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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.