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Finding the Fourth Proportional to 98,630, 147,945 and 32,966

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Solution

The fourth proportional to 98,630, 147,945 and 32,966 is: 49,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,630 : 147,945 = 32,966 : x
  2. Step 2: Convert to fraction form
    98,630/147,945 = 32,966/x
  3. Step 3: Cross multiply
    98,630x = 147,945 × 32,966
  4. Step 4: Simplify right side
    98,630x = 4,877,154,870
  5. Step 5: Solve for x
    x = 4,877,154,870/98,630
  6. Step 6: Final answer
    x = 49,449

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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.