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Finding the Fourth Proportional to 73,571.76, 110,359.26 and 29,219.40

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Solution

The fourth proportional to 73,571.76, 110,359.26 and 29,219.40 is: 43,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,571.76 : 110,359.26 = 29,219.40 : x
  2. Step 2: Convert to fraction form
    73,571.76/110,359.26 = 29,219.40/x
  3. Step 3: Cross multiply
    73,571.76x = 110,359.26 × 29,219.40
  4. Step 4: Simplify right side
    73,571.76x = 3,224,631,361.64
  5. Step 5: Solve for x
    x = 3,224,631,361.64/73,571.76
  6. Step 6: Final answer
    x = 43,829.74

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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.