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Finding the Fourth Proportional to 23,031, 34,546.50 and 6,615

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Solution

The fourth proportional to 23,031, 34,546.50 and 6,615 is: 9,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031 : 34,546.50 = 6,615 : x
  2. Step 2: Convert to fraction form
    23,031/34,546.50 = 6,615/x
  3. Step 3: Cross multiply
    23,031x = 34,546.50 × 6,615
  4. Step 4: Simplify right side
    23,031x = 228,525,097.50
  5. Step 5: Solve for x
    x = 228,525,097.50/23,031
  6. Step 6: Final answer
    x = 9,922.50

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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.