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Finding the Fourth Proportional to 70,607.56, 105,880.24 and 33,178.28

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Solution

The fourth proportional to 70,607.56, 105,880.24 and 33,178.28 is: 49,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607.56 : 105,880.24 = 33,178.28 : x
  2. Step 2: Convert to fraction form
    70,607.56/105,880.24 = 33,178.28/x
  3. Step 3: Cross multiply
    70,607.56x = 105,880.24 × 33,178.28
  4. Step 4: Simplify right side
    70,607.56x = 3,512,924,249.19
  5. Step 5: Solve for x
    x = 3,512,924,249.19/70,607.56
  6. Step 6: Final answer
    x = 49,752.81

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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.