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Finding the Fourth Proportional to 50,821.32, 76,101.42 and 33,239.88

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Solution

The fourth proportional to 50,821.32, 76,101.42 and 33,239.88 is: 49,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,821.32 : 76,101.42 = 33,239.88 : x
  2. Step 2: Convert to fraction form
    50,821.32/76,101.42 = 33,239.88/x
  3. Step 3: Cross multiply
    50,821.32x = 76,101.42 × 33,239.88
  4. Step 4: Simplify right side
    50,821.32x = 2,529,602,068.63
  5. Step 5: Solve for x
    x = 2,529,602,068.63/50,821.32
  6. Step 6: Final answer
    x = 49,774.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.