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Finding the Fourth Proportional to 51,206.40, 76,809.60 and 13,766.40

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Solution

The fourth proportional to 51,206.40, 76,809.60 and 13,766.40 is: 20,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.40 : 76,809.60 = 13,766.40 : x
  2. Step 2: Convert to fraction form
    51,206.40/76,809.60 = 13,766.40/x
  3. Step 3: Cross multiply
    51,206.40x = 76,809.60 × 13,766.40
  4. Step 4: Simplify right side
    51,206.40x = 1,057,391,677.44
  5. Step 5: Solve for x
    x = 1,057,391,677.44/51,206.40
  6. Step 6: Final answer
    x = 20,649.60

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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.