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Finding the Fourth Proportional to 90,247, 135,370.50 and 24,583

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Solution

The fourth proportional to 90,247, 135,370.50 and 24,583 is: 36,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,247 : 135,370.50 = 24,583 : x
  2. Step 2: Convert to fraction form
    90,247/135,370.50 = 24,583/x
  3. Step 3: Cross multiply
    90,247x = 135,370.50 × 24,583
  4. Step 4: Simplify right side
    90,247x = 3,327,813,001.50
  5. Step 5: Solve for x
    x = 3,327,813,001.50/90,247
  6. Step 6: Final answer
    x = 36,874.50

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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.