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Finding the Fourth Proportional to 34,930.96, 48,203.88 and 20,026

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Solution

The fourth proportional to 34,930.96, 48,203.88 and 20,026 is: 27,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930.96 : 48,203.88 = 20,026 : x
  2. Step 2: Convert to fraction form
    34,930.96/48,203.88 = 20,026/x
  3. Step 3: Cross multiply
    34,930.96x = 48,203.88 × 20,026
  4. Step 4: Simplify right side
    34,930.96x = 965,330,900.88
  5. Step 5: Solve for x
    x = 965,330,900.88/34,930.96
  6. Step 6: Final answer
    x = 27,635.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.