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Finding the Fourth Proportional to 32,805, 49,240.31 and 17,255.43

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Solution

The fourth proportional to 32,805, 49,240.31 and 17,255.43 is: 25,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805 : 49,240.31 = 17,255.43 : x
  2. Step 2: Convert to fraction form
    32,805/49,240.31 = 17,255.43/x
  3. Step 3: Cross multiply
    32,805x = 49,240.31 × 17,255.43
  4. Step 4: Simplify right side
    32,805x = 849,662,636.11
  5. Step 5: Solve for x
    x = 849,662,636.11/32,805
  6. Step 6: Final answer
    x = 25,900.40

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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.