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Finding the Fourth Proportional to 57,102.58, 85,662.09 and 17,662.76

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Solution

The fourth proportional to 57,102.58, 85,662.09 and 17,662.76 is: 26,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.58 : 85,662.09 = 17,662.76 : x
  2. Step 2: Convert to fraction form
    57,102.58/85,662.09 = 17,662.76/x
  3. Step 3: Cross multiply
    57,102.58x = 85,662.09 × 17,662.76
  4. Step 4: Simplify right side
    57,102.58x = 1,513,028,936.77
  5. Step 5: Solve for x
    x = 1,513,028,936.77/57,102.58
  6. Step 6: Final answer
    x = 26,496.68

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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.