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Finding the Fourth Proportional to 34,451.87, 51,671.88 and 9,486.36

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Solution

The fourth proportional to 34,451.87, 51,671.88 and 9,486.36 is: 14,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,451.87 : 51,671.88 = 9,486.36 : x
  2. Step 2: Convert to fraction form
    34,451.87/51,671.88 = 9,486.36/x
  3. Step 3: Cross multiply
    34,451.87x = 51,671.88 × 9,486.36
  4. Step 4: Simplify right side
    34,451.87x = 490,178,055.56
  5. Step 5: Solve for x
    x = 490,178,055.56/34,451.87
  6. Step 6: Final answer
    x = 14,227.91

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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.