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Finding the Fourth Proportional to 98,735.80, 148,121.52 and 32,170

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Solution

The fourth proportional to 98,735.80, 148,121.52 and 32,170 is: 48,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,735.80 : 148,121.52 = 32,170 : x
  2. Step 2: Convert to fraction form
    98,735.80/148,121.52 = 32,170/x
  3. Step 3: Cross multiply
    98,735.80x = 148,121.52 × 32,170
  4. Step 4: Simplify right side
    98,735.80x = 4,765,069,298.40
  5. Step 5: Solve for x
    x = 4,765,069,298.40/98,735.80
  6. Step 6: Final answer
    x = 48,260.81

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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.