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Finding the Fourth Proportional to 55,322, 76,344.36 and 30,171.68

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Solution

The fourth proportional to 55,322, 76,344.36 and 30,171.68 is: 41,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,322 : 76,344.36 = 30,171.68 : x
  2. Step 2: Convert to fraction form
    55,322/76,344.36 = 30,171.68/x
  3. Step 3: Cross multiply
    55,322x = 76,344.36 × 30,171.68
  4. Step 4: Simplify right side
    55,322x = 2,303,437,599.72
  5. Step 5: Solve for x
    x = 2,303,437,599.72/55,322
  6. Step 6: Final answer
    x = 41,636.92

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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.