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Finding the Fourth Proportional to 22,672.80, 31,774.73 and 22,672.80

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Solution

The fourth proportional to 22,672.80, 31,774.73 and 22,672.80 is: 31,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.80 : 31,774.73 = 22,672.80 : x
  2. Step 2: Convert to fraction form
    22,672.80/31,774.73 = 22,672.80/x
  3. Step 3: Cross multiply
    22,672.80x = 31,774.73 × 22,672.80
  4. Step 4: Simplify right side
    22,672.80x = 720,421,984.98
  5. Step 5: Solve for x
    x = 720,421,984.98/22,672.80
  6. Step 6: Final answer
    x = 31,774.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.