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Finding the Fourth Proportional to 75,327.87, 112,986.30 and 35,355.96

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Solution

The fourth proportional to 75,327.87, 112,986.30 and 35,355.96 is: 53,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,327.87 : 112,986.30 = 35,355.96 : x
  2. Step 2: Convert to fraction form
    75,327.87/112,986.30 = 35,355.96/x
  3. Step 3: Cross multiply
    75,327.87x = 112,986.30 × 35,355.96
  4. Step 4: Simplify right side
    75,327.87x = 3,994,739,103.35
  5. Step 5: Solve for x
    x = 3,994,739,103.35/75,327.87
  6. Step 6: Final answer
    x = 53,031.36

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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.