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Finding the Fourth Proportional to 77,901.83, 116,769.34 and 55,647.73

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Solution

The fourth proportional to 77,901.83, 116,769.34 and 55,647.73 is: 83,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,901.83 : 116,769.34 = 55,647.73 : x
  2. Step 2: Convert to fraction form
    77,901.83/116,769.34 = 55,647.73/x
  3. Step 3: Cross multiply
    77,901.83x = 116,769.34 × 55,647.73
  4. Step 4: Simplify right side
    77,901.83x = 6,497,948,704.60
  5. Step 5: Solve for x
    x = 6,497,948,704.60/77,901.83
  6. Step 6: Final answer
    x = 83,412.02

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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.