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Finding the Fourth Proportional to 31,197.96, 46,829.34 and 20,881.80

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Solution

The fourth proportional to 31,197.96, 46,829.34 and 20,881.80 is: 31,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.96 : 46,829.34 = 20,881.80 : x
  2. Step 2: Convert to fraction form
    31,197.96/46,829.34 = 20,881.80/x
  3. Step 3: Cross multiply
    31,197.96x = 46,829.34 × 20,881.80
  4. Step 4: Simplify right side
    31,197.96x = 977,880,912.01
  5. Step 5: Solve for x
    x = 977,880,912.01/31,197.96
  6. Step 6: Final answer
    x = 31,344.39

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1.5x scale

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.