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Finding the Fourth Proportional to 51,678.50, 71,305.17 and 30,450.02

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Solution

The fourth proportional to 51,678.50, 71,305.17 and 30,450.02 is: 42,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.50 : 71,305.17 = 30,450.02 : x
  2. Step 2: Convert to fraction form
    51,678.50/71,305.17 = 30,450.02/x
  3. Step 3: Cross multiply
    51,678.50x = 71,305.17 × 30,450.02
  4. Step 4: Simplify right side
    51,678.50x = 2,171,243,852.60
  5. Step 5: Solve for x
    x = 2,171,243,852.60/51,678.50
  6. Step 6: Final answer
    x = 42,014.45

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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.