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Finding the Fourth Proportional to 55,648.40, 76,794.36 and 30,497.84

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Solution

The fourth proportional to 55,648.40, 76,794.36 and 30,497.84 is: 42,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.40 : 76,794.36 = 30,497.84 : x
  2. Step 2: Convert to fraction form
    55,648.40/76,794.36 = 30,497.84/x
  3. Step 3: Cross multiply
    55,648.40x = 76,794.36 × 30,497.84
  4. Step 4: Simplify right side
    55,648.40x = 2,342,062,104.18
  5. Step 5: Solve for x
    x = 2,342,062,104.18/55,648.40
  6. Step 6: Final answer
    x = 42,086.78

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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.