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Finding the Fourth Proportional to 36,178.80, 54,277.80 and 12,802.80

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Solution

The fourth proportional to 36,178.80, 54,277.80 and 12,802.80 is: 19,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.80 : 54,277.80 = 12,802.80 : x
  2. Step 2: Convert to fraction form
    36,178.80/54,277.80 = 12,802.80/x
  3. Step 3: Cross multiply
    36,178.80x = 54,277.80 × 12,802.80
  4. Step 4: Simplify right side
    36,178.80x = 694,907,817.84
  5. Step 5: Solve for x
    x = 694,907,817.84/36,178.80
  6. Step 6: Final answer
    x = 19,207.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.