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Finding the Fourth Proportional to 53,693.76, 80,544.64 and 14,250

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Solution

The fourth proportional to 53,693.76, 80,544.64 and 14,250 is: 21,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,693.76 : 80,544.64 = 14,250 : x
  2. Step 2: Convert to fraction form
    53,693.76/80,544.64 = 14,250/x
  3. Step 3: Cross multiply
    53,693.76x = 80,544.64 × 14,250
  4. Step 4: Simplify right side
    53,693.76x = 1,147,761,120
  5. Step 5: Solve for x
    x = 1,147,761,120/53,693.76
  6. Step 6: Final answer
    x = 21,376.06

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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.