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Finding the Fourth Proportional to 80,301.49, 110,868.03 and 51,634

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Solution

The fourth proportional to 80,301.49, 110,868.03 and 51,634 is: 71,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.49 : 110,868.03 = 51,634 : x
  2. Step 2: Convert to fraction form
    80,301.49/110,868.03 = 51,634/x
  3. Step 3: Cross multiply
    80,301.49x = 110,868.03 × 51,634
  4. Step 4: Simplify right side
    80,301.49x = 5,724,559,861.02
  5. Step 5: Solve for x
    x = 5,724,559,861.02/80,301.49
  6. Step 6: Final answer
    x = 71,288.34

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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.