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Finding the Fourth Proportional to 50,902.63, 70,245.12 and 28,241.66

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Solution

The fourth proportional to 50,902.63, 70,245.12 and 28,241.66 is: 38,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.63 : 70,245.12 = 28,241.66 : x
  2. Step 2: Convert to fraction form
    50,902.63/70,245.12 = 28,241.66/x
  3. Step 3: Cross multiply
    50,902.63x = 70,245.12 × 28,241.66
  4. Step 4: Simplify right side
    50,902.63x = 1,983,839,077.22
  5. Step 5: Solve for x
    x = 1,983,839,077.22/50,902.63
  6. Step 6: Final answer
    x = 38,973.22

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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.