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Finding the Fourth Proportional to 55,571.45, 76,688.09 and 30,077.30

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Solution

The fourth proportional to 55,571.45, 76,688.09 and 30,077.30 is: 41,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,571.45 : 76,688.09 = 30,077.30 : x
  2. Step 2: Convert to fraction form
    55,571.45/76,688.09 = 30,077.30/x
  3. Step 3: Cross multiply
    55,571.45x = 76,688.09 × 30,077.30
  4. Step 4: Simplify right side
    55,571.45x = 2,306,570,538.97
  5. Step 5: Solve for x
    x = 2,306,570,538.97/55,571.45
  6. Step 6: Final answer
    x = 41,506.39

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Why These Related Problems?

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