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Finding the Fourth Proportional to 73,629.60, 110,458.80 and 31,509.60

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Solution

The fourth proportional to 73,629.60, 110,458.80 and 31,509.60 is: 47,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,629.60 : 110,458.80 = 31,509.60 : x
  2. Step 2: Convert to fraction form
    73,629.60/110,458.80 = 31,509.60/x
  3. Step 3: Cross multiply
    73,629.60x = 110,458.80 × 31,509.60
  4. Step 4: Simplify right side
    73,629.60x = 3,480,512,604.48
  5. Step 5: Solve for x
    x = 3,480,512,604.48/73,629.60
  6. Step 6: Final answer
    x = 47,270.56

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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.