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Finding the Fourth Proportional to 42,761.94, 64,072.77 and 30,220.71

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Solution

The fourth proportional to 42,761.94, 64,072.77 and 30,220.71 is: 45,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,761.94 : 64,072.77 = 30,220.71 : x
  2. Step 2: Convert to fraction form
    42,761.94/64,072.77 = 30,220.71/x
  3. Step 3: Cross multiply
    42,761.94x = 64,072.77 × 30,220.71
  4. Step 4: Simplify right side
    42,761.94x = 1,936,324,601.07
  5. Step 5: Solve for x
    x = 1,936,324,601.07/42,761.94
  6. Step 6: Final answer
    x = 45,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.