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Finding the Fourth Proportional to 85,557.96, 128,310.78 and 30,141

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Solution

The fourth proportional to 85,557.96, 128,310.78 and 30,141 is: 45,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,557.96 : 128,310.78 = 30,141 : x
  2. Step 2: Convert to fraction form
    85,557.96/128,310.78 = 30,141/x
  3. Step 3: Cross multiply
    85,557.96x = 128,310.78 × 30,141
  4. Step 4: Simplify right side
    85,557.96x = 3,867,415,219.98
  5. Step 5: Solve for x
    x = 3,867,415,219.98/85,557.96
  6. Step 6: Final answer
    x = 45,202.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.