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Finding the Fourth Proportional to 55,202, 76,178.94 and 30,051.68

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Solution

The fourth proportional to 55,202, 76,178.94 and 30,051.68 is: 41,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202 : 76,178.94 = 30,051.68 : x
  2. Step 2: Convert to fraction form
    55,202/76,178.94 = 30,051.68/x
  3. Step 3: Cross multiply
    55,202x = 76,178.94 × 30,051.68
  4. Step 4: Simplify right side
    55,202x = 2,289,305,127.62
  5. Step 5: Solve for x
    x = 2,289,305,127.62/55,202
  6. Step 6: Final answer
    x = 41,471.42

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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.