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Finding the Fourth Proportional to 30,277.20, 41,758.80 and 20,722.80

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Solution

The fourth proportional to 30,277.20, 41,758.80 and 20,722.80 is: 28,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.20 : 41,758.80 = 20,722.80 : x
  2. Step 2: Convert to fraction form
    30,277.20/41,758.80 = 20,722.80/x
  3. Step 3: Cross multiply
    30,277.20x = 41,758.80 × 20,722.80
  4. Step 4: Simplify right side
    30,277.20x = 865,359,260.64
  5. Step 5: Solve for x
    x = 865,359,260.64/30,277.20
  6. Step 6: Final answer
    x = 28,581.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.