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Finding the Fourth Proportional to 78,491.30, 117,974.83 and 51,927.90

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Solution

The fourth proportional to 78,491.30, 117,974.83 and 51,927.90 is: 78,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.30 : 117,974.83 = 51,927.90 : x
  2. Step 2: Convert to fraction form
    78,491.30/117,974.83 = 51,927.90/x
  3. Step 3: Cross multiply
    78,491.30x = 117,974.83 × 51,927.90
  4. Step 4: Simplify right side
    78,491.30x = 6,126,185,363.50
  5. Step 5: Solve for x
    x = 6,126,185,363.50/78,491.30
  6. Step 6: Final answer
    x = 78,049.23

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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.