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Finding the Fourth Proportional to 33,071.56, 49,827.97 and 29,912.64

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Solution

The fourth proportional to 33,071.56, 49,827.97 and 29,912.64 is: 45,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071.56 : 49,827.97 = 29,912.64 : x
  2. Step 2: Convert to fraction form
    33,071.56/49,827.97 = 29,912.64/x
  3. Step 3: Cross multiply
    33,071.56x = 49,827.97 × 29,912.64
  4. Step 4: Simplify right side
    33,071.56x = 1,490,485,810.82
  5. Step 5: Solve for x
    x = 1,490,485,810.82/33,071.56
  6. Step 6: Final answer
    x = 45,068.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.