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Finding the Fourth Proportional to 73,178.40, 109,767.60 and 43,629.60

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Solution

The fourth proportional to 73,178.40, 109,767.60 and 43,629.60 is: 65,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.40 : 109,767.60 = 43,629.60 : x
  2. Step 2: Convert to fraction form
    73,178.40/109,767.60 = 43,629.60/x
  3. Step 3: Cross multiply
    73,178.40x = 109,767.60 × 43,629.60
  4. Step 4: Simplify right side
    73,178.40x = 4,789,116,480.96
  5. Step 5: Solve for x
    x = 4,789,116,480.96/73,178.40
  6. Step 6: Final answer
    x = 65,444.40

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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.