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Finding the Fourth Proportional to 20,782.80, 31,135.80 and 19,400.40

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Solution

The fourth proportional to 20,782.80, 31,135.80 and 19,400.40 is: 29,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.80 : 31,135.80 = 19,400.40 : x
  2. Step 2: Convert to fraction form
    20,782.80/31,135.80 = 19,400.40/x
  3. Step 3: Cross multiply
    20,782.80x = 31,135.80 × 19,400.40
  4. Step 4: Simplify right side
    20,782.80x = 604,046,974.32
  5. Step 5: Solve for x
    x = 604,046,974.32/20,782.80
  6. Step 6: Final answer
    x = 29,064.75

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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.