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Finding the Fourth Proportional to 53,726.97, 80,196.11 and 49,768.50

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Solution

The fourth proportional to 53,726.97, 80,196.11 and 49,768.50 is: 74,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,726.97 : 80,196.11 = 49,768.50 : x
  2. Step 2: Convert to fraction form
    53,726.97/80,196.11 = 49,768.50/x
  3. Step 3: Cross multiply
    53,726.97x = 80,196.11 × 49,768.50
  4. Step 4: Simplify right side
    53,726.97x = 3,991,240,224.96
  5. Step 5: Solve for x
    x = 3,991,240,224.96/53,726.97
  6. Step 6: Final answer
    x = 74,287.46

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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.