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Finding the Fourth Proportional to 98,496, 147,744 and 24,624

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Solution

The fourth proportional to 98,496, 147,744 and 24,624 is: 36,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496 : 147,744 = 24,624 : x
  2. Step 2: Convert to fraction form
    98,496/147,744 = 24,624/x
  3. Step 3: Cross multiply
    98,496x = 147,744 × 24,624
  4. Step 4: Simplify right side
    98,496x = 3,638,048,256
  5. Step 5: Solve for x
    x = 3,638,048,256/98,496
  6. Step 6: Final answer
    x = 36,936

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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.