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Finding the Fourth Proportional to 50,973.60, 70,349.82 and 29,759.70

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Solution

The fourth proportional to 50,973.60, 70,349.82 and 29,759.70 is: 41,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973.60 : 70,349.82 = 29,759.70 : x
  2. Step 2: Convert to fraction form
    50,973.60/70,349.82 = 29,759.70/x
  3. Step 3: Cross multiply
    50,973.60x = 70,349.82 × 29,759.70
  4. Step 4: Simplify right side
    50,973.60x = 2,093,589,538.25
  5. Step 5: Solve for x
    x = 2,093,589,538.25/50,973.60
  6. Step 6: Final answer
    x = 41,072.04

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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.