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Finding the Fourth Proportional to 20,965.80, 31,448.70 and 19,993.80

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Solution

The fourth proportional to 20,965.80, 31,448.70 and 19,993.80 is: 29,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.80 : 31,448.70 = 19,993.80 : x
  2. Step 2: Convert to fraction form
    20,965.80/31,448.70 = 19,993.80/x
  3. Step 3: Cross multiply
    20,965.80x = 31,448.70 × 19,993.80
  4. Step 4: Simplify right side
    20,965.80x = 628,779,018.06
  5. Step 5: Solve for x
    x = 628,779,018.06/20,965.80
  6. Step 6: Final answer
    x = 29,990.70

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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.