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Finding the Fourth Proportional to 55,235.52, 76,225.82 and 30,085

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Solution

The fourth proportional to 55,235.52, 76,225.82 and 30,085 is: 41,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,235.52 : 76,225.82 = 30,085 : x
  2. Step 2: Convert to fraction form
    55,235.52/76,225.82 = 30,085/x
  3. Step 3: Cross multiply
    55,235.52x = 76,225.82 × 30,085
  4. Step 4: Simplify right side
    55,235.52x = 2,293,253,794.70
  5. Step 5: Solve for x
    x = 2,293,253,794.70/55,235.52
  6. Step 6: Final answer
    x = 41,517.74

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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.