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Finding the Fourth Proportional to 98,500, 147,750 and 24,628

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Solution

The fourth proportional to 98,500, 147,750 and 24,628 is: 36,942

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,500 : 147,750 = 24,628 : x
  2. Step 2: Convert to fraction form
    98,500/147,750 = 24,628/x
  3. Step 3: Cross multiply
    98,500x = 147,750 × 24,628
  4. Step 4: Simplify right side
    98,500x = 3,638,787,000
  5. Step 5: Solve for x
    x = 3,638,787,000/98,500
  6. Step 6: Final answer
    x = 36,942

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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.