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Finding the Fourth Proportional to 55,172.84, 76,137.78 and 30,022.28

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Solution

The fourth proportional to 55,172.84, 76,137.78 and 30,022.28 is: 41,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,172.84 : 76,137.78 = 30,022.28 : x
  2. Step 2: Convert to fraction form
    55,172.84/76,137.78 = 30,022.28/x
  3. Step 3: Cross multiply
    55,172.84x = 76,137.78 × 30,022.28
  4. Step 4: Simplify right side
    55,172.84x = 2,285,829,749.74
  5. Step 5: Solve for x
    x = 2,285,829,749.74/55,172.84
  6. Step 6: Final answer
    x = 41,430.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.