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Finding the Fourth Proportional to 27,829.60, 41,647.20 and 19,470.40

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Solution

The fourth proportional to 27,829.60, 41,647.20 and 19,470.40 is: 29,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.60 : 41,647.20 = 19,470.40 : x
  2. Step 2: Convert to fraction form
    27,829.60/41,647.20 = 19,470.40/x
  3. Step 3: Cross multiply
    27,829.60x = 41,647.20 × 19,470.40
  4. Step 4: Simplify right side
    27,829.60x = 810,887,642.88
  5. Step 5: Solve for x
    x = 810,887,642.88/27,829.60
  6. Step 6: Final answer
    x = 29,137.60

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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.