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Finding the Fourth Proportional to 55,634.50, 76,775.70 and 30,484

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Solution

The fourth proportional to 55,634.50, 76,775.70 and 30,484 is: 42,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,634.50 : 76,775.70 = 30,484 : x
  2. Step 2: Convert to fraction form
    55,634.50/76,775.70 = 30,484/x
  3. Step 3: Cross multiply
    55,634.50x = 76,775.70 × 30,484
  4. Step 4: Simplify right side
    55,634.50x = 2,340,430,438.80
  5. Step 5: Solve for x
    x = 2,340,430,438.80/55,634.50
  6. Step 6: Final answer
    x = 42,067.97

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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.