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Finding the Fourth Proportional to 52,241.44, 72,091.88 and 29,884

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Solution

The fourth proportional to 52,241.44, 72,091.88 and 29,884 is: 41,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,241.44 : 72,091.88 = 29,884 : x
  2. Step 2: Convert to fraction form
    52,241.44/72,091.88 = 29,884/x
  3. Step 3: Cross multiply
    52,241.44x = 72,091.88 × 29,884
  4. Step 4: Simplify right side
    52,241.44x = 2,154,393,741.92
  5. Step 5: Solve for x
    x = 2,154,393,741.92/52,241.44
  6. Step 6: Final answer
    x = 41,239.17

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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.