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Finding the Fourth Proportional to 32,805, 49,207.50 and 9,431.44

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Solution

The fourth proportional to 32,805, 49,207.50 and 9,431.44 is: 14,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805 : 49,207.50 = 9,431.44 : x
  2. Step 2: Convert to fraction form
    32,805/49,207.50 = 9,431.44/x
  3. Step 3: Cross multiply
    32,805x = 49,207.50 × 9,431.44
  4. Step 4: Simplify right side
    32,805x = 464,097,460.78
  5. Step 5: Solve for x
    x = 464,097,460.78/32,805
  6. Step 6: Final answer
    x = 14,147.16

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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.