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Finding the Fourth Proportional to 102,912.82, 142,027.32 and 57,595.34

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Solution

The fourth proportional to 102,912.82, 142,027.32 and 57,595.34 is: 79,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.82 : 142,027.32 = 57,595.34 : x
  2. Step 2: Convert to fraction form
    102,912.82/142,027.32 = 57,595.34/x
  3. Step 3: Cross multiply
    102,912.82x = 142,027.32 × 57,595.34
  4. Step 4: Simplify right side
    102,912.82x = 8,180,111,784.69
  5. Step 5: Solve for x
    x = 8,180,111,784.69/102,912.82
  6. Step 6: Final answer
    x = 79,485.84

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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.