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Finding the Fourth Proportional to 27,870.40, 41,740.80 and 19,057.60

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Solution

The fourth proportional to 27,870.40, 41,740.80 and 19,057.60 is: 28,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.40 : 41,740.80 = 19,057.60 : x
  2. Step 2: Convert to fraction form
    27,870.40/41,740.80 = 19,057.60/x
  3. Step 3: Cross multiply
    27,870.40x = 41,740.80 × 19,057.60
  4. Step 4: Simplify right side
    27,870.40x = 795,479,470.08
  5. Step 5: Solve for x
    x = 795,479,470.08/27,870.40
  6. Step 6: Final answer
    x = 28,542.09

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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.