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Finding the Fourth Proportional to 67,571.56, 101,341.94 and 25,456

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Solution

The fourth proportional to 67,571.56, 101,341.94 and 25,456 is: 38,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,571.56 : 101,341.94 = 25,456 : x
  2. Step 2: Convert to fraction form
    67,571.56/101,341.94 = 25,456/x
  3. Step 3: Cross multiply
    67,571.56x = 101,341.94 × 25,456
  4. Step 4: Simplify right side
    67,571.56x = 2,579,760,424.64
  5. Step 5: Solve for x
    x = 2,579,760,424.64/67,571.56
  6. Step 6: Final answer
    x = 38,178.20

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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.