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Finding the Fourth Proportional to 55,172, 76,138.58 and 30,021.50

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Solution

The fourth proportional to 55,172, 76,138.58 and 30,021.50 is: 41,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,172 : 76,138.58 = 30,021.50 : x
  2. Step 2: Convert to fraction form
    55,172/76,138.58 = 30,021.50/x
  3. Step 3: Cross multiply
    55,172x = 76,138.58 × 30,021.50
  4. Step 4: Simplify right side
    55,172x = 2,285,794,379.47
  5. Step 5: Solve for x
    x = 2,285,794,379.47/55,172
  6. Step 6: Final answer
    x = 41,430.33

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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.