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Finding the Fourth Proportional to 52,933.69, 73,052.04 and 34,997.86

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Solution

The fourth proportional to 52,933.69, 73,052.04 and 34,997.86 is: 48,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,933.69 : 73,052.04 = 34,997.86 : x
  2. Step 2: Convert to fraction form
    52,933.69/73,052.04 = 34,997.86/x
  3. Step 3: Cross multiply
    52,933.69x = 73,052.04 × 34,997.86
  4. Step 4: Simplify right side
    52,933.69x = 2,556,665,068.63
  5. Step 5: Solve for x
    x = 2,556,665,068.63/52,933.69
  6. Step 6: Final answer
    x = 48,299.39

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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.