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Finding the Fourth Proportional to 30,647.60, 45,991.92 and 13,121.72

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Solution

The fourth proportional to 30,647.60, 45,991.92 and 13,121.72 is: 19,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.60 : 45,991.92 = 13,121.72 : x
  2. Step 2: Convert to fraction form
    30,647.60/45,991.92 = 13,121.72/x
  3. Step 3: Cross multiply
    30,647.60x = 45,991.92 × 13,121.72
  4. Step 4: Simplify right side
    30,647.60x = 603,493,096.50
  5. Step 5: Solve for x
    x = 603,493,096.50/30,647.60
  6. Step 6: Final answer
    x = 19,691.37

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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.