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Finding the Fourth Proportional to 98,508, 147,762 and 24,636

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Solution

The fourth proportional to 98,508, 147,762 and 24,636 is: 36,954

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,508 : 147,762 = 24,636 : x
  2. Step 2: Convert to fraction form
    98,508/147,762 = 24,636/x
  3. Step 3: Cross multiply
    98,508x = 147,762 × 24,636
  4. Step 4: Simplify right side
    98,508x = 3,640,264,632
  5. Step 5: Solve for x
    x = 3,640,264,632/98,508
  6. Step 6: Final answer
    x = 36,954

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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.