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Finding the Fourth Proportional to 51,855.33, 71,541.64 and 33,960.54

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Solution

The fourth proportional to 51,855.33, 71,541.64 and 33,960.54 is: 46,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.33 : 71,541.64 = 33,960.54 : x
  2. Step 2: Convert to fraction form
    51,855.33/71,541.64 = 33,960.54/x
  3. Step 3: Cross multiply
    51,855.33x = 71,541.64 × 33,960.54
  4. Step 4: Simplify right side
    51,855.33x = 2,429,592,726.89
  5. Step 5: Solve for x
    x = 2,429,592,726.89/51,855.33
  6. Step 6: Final answer
    x = 46,853.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.