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Finding the Fourth Proportional to 51,978.64, 71,730.20 and 28,105.36

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Solution

The fourth proportional to 51,978.64, 71,730.20 and 28,105.36 is: 38,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.64 : 71,730.20 = 28,105.36 : x
  2. Step 2: Convert to fraction form
    51,978.64/71,730.20 = 28,105.36/x
  3. Step 3: Cross multiply
    51,978.64x = 71,730.20 × 28,105.36
  4. Step 4: Simplify right side
    51,978.64x = 2,016,003,093.87
  5. Step 5: Solve for x
    x = 2,016,003,093.87/51,978.64
  6. Step 6: Final answer
    x = 38,785.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.