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Finding the Fourth Proportional to 83,626.36, 115,458.42 and 51,829

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Solution

The fourth proportional to 83,626.36, 115,458.42 and 51,829 is: 71,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,626.36 : 115,458.42 = 51,829 : x
  2. Step 2: Convert to fraction form
    83,626.36/115,458.42 = 51,829/x
  3. Step 3: Cross multiply
    83,626.36x = 115,458.42 × 51,829
  4. Step 4: Simplify right side
    83,626.36x = 5,984,094,450.18
  5. Step 5: Solve for x
    x = 5,984,094,450.18/83,626.36
  6. Step 6: Final answer
    x = 71,557.51

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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.