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Finding the Fourth Proportional to 85,974.30, 129,008.52 and 33,385.86

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Solution

The fourth proportional to 85,974.30, 129,008.52 and 33,385.86 is: 50,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,974.30 : 129,008.52 = 33,385.86 : x
  2. Step 2: Convert to fraction form
    85,974.30/129,008.52 = 33,385.86/x
  3. Step 3: Cross multiply
    85,974.30x = 129,008.52 × 33,385.86
  4. Step 4: Simplify right side
    85,974.30x = 4,307,060,387.53
  5. Step 5: Solve for x
    x = 4,307,060,387.53/85,974.30
  6. Step 6: Final answer
    x = 50,097.07

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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.