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Finding the Fourth Proportional to 31,216.80, 46,825.20 and 20,719.20

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Solution

The fourth proportional to 31,216.80, 46,825.20 and 20,719.20 is: 31,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.80 : 46,825.20 = 20,719.20 : x
  2. Step 2: Convert to fraction form
    31,216.80/46,825.20 = 20,719.20/x
  3. Step 3: Cross multiply
    31,216.80x = 46,825.20 × 20,719.20
  4. Step 4: Simplify right side
    31,216.80x = 970,180,683.84
  5. Step 5: Solve for x
    x = 970,180,683.84/31,216.80
  6. Step 6: Final answer
    x = 31,078.80

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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.