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Finding the Fourth Proportional to 85,201.59, 117,586.94 and 51,221.08

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Solution

The fourth proportional to 85,201.59, 117,586.94 and 51,221.08 is: 70,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201.59 : 117,586.94 = 51,221.08 : x
  2. Step 2: Convert to fraction form
    85,201.59/117,586.94 = 51,221.08/x
  3. Step 3: Cross multiply
    85,201.59x = 117,586.94 × 51,221.08
  4. Step 4: Simplify right side
    85,201.59x = 6,022,929,472.76
  5. Step 5: Solve for x
    x = 6,022,929,472.76/85,201.59
  6. Step 6: Final answer
    x = 70,690.34

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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.