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Finding the Fourth Proportional to 77,893.64, 116,885.88 and 51,272.48

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Solution

The fourth proportional to 77,893.64, 116,885.88 and 51,272.48 is: 76,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.64 : 116,885.88 = 51,272.48 : x
  2. Step 2: Convert to fraction form
    77,893.64/116,885.88 = 51,272.48/x
  3. Step 3: Cross multiply
    77,893.64x = 116,885.88 × 51,272.48
  4. Step 4: Simplify right side
    77,893.64x = 5,993,028,944.58
  5. Step 5: Solve for x
    x = 5,993,028,944.58/77,893.64
  6. Step 6: Final answer
    x = 76,938.62

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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.