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Finding the Fourth Proportional to 34,651.64, 51,992.04 and 13,598.12

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Solution

The fourth proportional to 34,651.64, 51,992.04 and 13,598.12 is: 20,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.64 : 51,992.04 = 13,598.12 : x
  2. Step 2: Convert to fraction form
    34,651.64/51,992.04 = 13,598.12/x
  3. Step 3: Cross multiply
    34,651.64x = 51,992.04 × 13,598.12
  4. Step 4: Simplify right side
    34,651.64x = 706,993,998.96
  5. Step 5: Solve for x
    x = 706,993,998.96/34,651.64
  6. Step 6: Final answer
    x = 20,402.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.