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Finding the Fourth Proportional to 98,246.80, 147,297.30 and 31,648.60

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Solution

The fourth proportional to 98,246.80, 147,297.30 and 31,648.60 is: 47,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,246.80 : 147,297.30 = 31,648.60 : x
  2. Step 2: Convert to fraction form
    98,246.80/147,297.30 = 31,648.60/x
  3. Step 3: Cross multiply
    98,246.80x = 147,297.30 × 31,648.60
  4. Step 4: Simplify right side
    98,246.80x = 4,661,753,328.78
  5. Step 5: Solve for x
    x = 4,661,753,328.78/98,246.80
  6. Step 6: Final answer
    x = 47,449.42

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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.