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Finding the Fourth Proportional to 55,817.76, 83,759.28 and 20,782.24

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Solution

The fourth proportional to 55,817.76, 83,759.28 and 20,782.24 is: 31,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817.76 : 83,759.28 = 20,782.24 : x
  2. Step 2: Convert to fraction form
    55,817.76/83,759.28 = 20,782.24/x
  3. Step 3: Cross multiply
    55,817.76x = 83,759.28 × 20,782.24
  4. Step 4: Simplify right side
    55,817.76x = 1,740,705,459.19
  5. Step 5: Solve for x
    x = 1,740,705,459.19/55,817.76
  6. Step 6: Final answer
    x = 31,185.51

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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.