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Finding the Fourth Proportional to 65,445.21, 90,311.92 and 39,994.13

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Solution

The fourth proportional to 65,445.21, 90,311.92 and 39,994.13 is: 55,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445.21 : 90,311.92 = 39,994.13 : x
  2. Step 2: Convert to fraction form
    65,445.21/90,311.92 = 39,994.13/x
  3. Step 3: Cross multiply
    65,445.21x = 90,311.92 × 39,994.13
  4. Step 4: Simplify right side
    65,445.21x = 3,611,946,794.82
  5. Step 5: Solve for x
    x = 3,611,946,794.82/65,445.21
  6. Step 6: Final answer
    x = 55,190.39

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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.