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Finding the Fourth Proportional to 75,311.82, 112,830.03 and 35,257.32

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Solution

The fourth proportional to 75,311.82, 112,830.03 and 35,257.32 is: 52,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311.82 : 112,830.03 = 35,257.32 : x
  2. Step 2: Convert to fraction form
    75,311.82/112,830.03 = 35,257.32/x
  3. Step 3: Cross multiply
    75,311.82x = 112,830.03 × 35,257.32
  4. Step 4: Simplify right side
    75,311.82x = 3,978,084,473.32
  5. Step 5: Solve for x
    x = 3,978,084,473.32/75,311.82
  6. Step 6: Final answer
    x = 52,821.52

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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.