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Finding the Fourth Proportional to 77,800.77, 116,709.26 and 29,769.29

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Solution

The fourth proportional to 77,800.77, 116,709.26 and 29,769.29 is: 44,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,800.77 : 116,709.26 = 29,769.29 : x
  2. Step 2: Convert to fraction form
    77,800.77/116,709.26 = 29,769.29/x
  3. Step 3: Cross multiply
    77,800.77x = 116,709.26 × 29,769.29
  4. Step 4: Simplify right side
    77,800.77x = 3,474,351,511.89
  5. Step 5: Solve for x
    x = 3,474,351,511.89/77,800.77
  6. Step 6: Final answer
    x = 44,657.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.