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Finding the Fourth Proportional to 98,296, 147,444 and 32,632

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Solution

The fourth proportional to 98,296, 147,444 and 32,632 is: 48,948

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296 : 147,444 = 32,632 : x
  2. Step 2: Convert to fraction form
    98,296/147,444 = 32,632/x
  3. Step 3: Cross multiply
    98,296x = 147,444 × 32,632
  4. Step 4: Simplify right side
    98,296x = 4,811,392,608
  5. Step 5: Solve for x
    x = 4,811,392,608/98,296
  6. Step 6: Final answer
    x = 48,948

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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.