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Finding the Fourth Proportional to 23,149, 34,729.32 and 6,733

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Solution

The fourth proportional to 23,149, 34,729.32 and 6,733 is: 10,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149 : 34,729.32 = 6,733 : x
  2. Step 2: Convert to fraction form
    23,149/34,729.32 = 6,733/x
  3. Step 3: Cross multiply
    23,149x = 34,729.32 × 6,733
  4. Step 4: Simplify right side
    23,149x = 233,832,511.56
  5. Step 5: Solve for x
    x = 233,832,511.56/23,149
  6. Step 6: Final answer
    x = 10,101.19

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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.