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Finding the Fourth Proportional to 55,092.59, 76,027.50 and 29,942.09

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Solution

The fourth proportional to 55,092.59, 76,027.50 and 29,942.09 is: 41,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,092.59 : 76,027.50 = 29,942.09 : x
  2. Step 2: Convert to fraction form
    55,092.59/76,027.50 = 29,942.09/x
  3. Step 3: Cross multiply
    55,092.59x = 76,027.50 × 29,942.09
  4. Step 4: Simplify right side
    55,092.59x = 2,276,421,867.34
  5. Step 5: Solve for x
    x = 2,276,421,867.34/55,092.59
  6. Step 6: Final answer
    x = 41,319.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.