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Finding the Fourth Proportional to 72,277.64, 108,258.56 and 30,029.64

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Solution

The fourth proportional to 72,277.64, 108,258.56 and 30,029.64 is: 44,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,277.64 : 108,258.56 = 30,029.64 : x
  2. Step 2: Convert to fraction form
    72,277.64/108,258.56 = 30,029.64/x
  3. Step 3: Cross multiply
    72,277.64x = 108,258.56 × 30,029.64
  4. Step 4: Simplify right side
    72,277.64x = 3,250,965,583.72
  5. Step 5: Solve for x
    x = 3,250,965,583.72/72,277.64
  6. Step 6: Final answer
    x = 44,978.86

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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.