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Finding the Fourth Proportional to 65,193.60, 97,863.30 and 50,467.80

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Solution

The fourth proportional to 65,193.60, 97,863.30 and 50,467.80 is: 75,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.60 : 97,863.30 = 50,467.80 : x
  2. Step 2: Convert to fraction form
    65,193.60/97,863.30 = 50,467.80/x
  3. Step 3: Cross multiply
    65,193.60x = 97,863.30 × 50,467.80
  4. Step 4: Simplify right side
    65,193.60x = 4,938,945,451.74
  5. Step 5: Solve for x
    x = 4,938,945,451.74/65,193.60
  6. Step 6: Final answer
    x = 75,758.13

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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.