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Finding the Fourth Proportional to 28,653.50, 42,684.78 and 27,782.96

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Solution

The fourth proportional to 28,653.50, 42,684.78 and 27,782.96 is: 41,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,653.50 : 42,684.78 = 27,782.96 : x
  2. Step 2: Convert to fraction form
    28,653.50/42,684.78 = 27,782.96/x
  3. Step 3: Cross multiply
    28,653.50x = 42,684.78 × 27,782.96
  4. Step 4: Simplify right side
    28,653.50x = 1,185,909,321.92
  5. Step 5: Solve for x
    x = 1,185,909,321.92/28,653.50
  6. Step 6: Final answer
    x = 41,387.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.