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Finding the Fourth Proportional to 34,934.88, 48,204.72 and 20,028

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Solution

The fourth proportional to 34,934.88, 48,204.72 and 20,028 is: 27,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,934.88 : 48,204.72 = 20,028 : x
  2. Step 2: Convert to fraction form
    34,934.88/48,204.72 = 20,028/x
  3. Step 3: Cross multiply
    34,934.88x = 48,204.72 × 20,028
  4. Step 4: Simplify right side
    34,934.88x = 965,444,132.16
  5. Step 5: Solve for x
    x = 965,444,132.16/34,934.88
  6. Step 6: Final answer
    x = 27,635.54

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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.