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Finding the Fourth Proportional to 55,270.52, 76,273.32 and 30,120

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Solution

The fourth proportional to 55,270.52, 76,273.32 and 30,120 is: 41,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,270.52 : 76,273.32 = 30,120 : x
  2. Step 2: Convert to fraction form
    55,270.52/76,273.32 = 30,120/x
  3. Step 3: Cross multiply
    55,270.52x = 76,273.32 × 30,120
  4. Step 4: Simplify right side
    55,270.52x = 2,297,352,398.40
  5. Step 5: Solve for x
    x = 2,297,352,398.40/55,270.52
  6. Step 6: Final answer
    x = 41,565.60

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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.