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Finding the Fourth Proportional to 65,265.60, 97,898.40 and 20,893.80

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Solution

The fourth proportional to 65,265.60, 97,898.40 and 20,893.80 is: 31,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.60 : 97,898.40 = 20,893.80 : x
  2. Step 2: Convert to fraction form
    65,265.60/97,898.40 = 20,893.80/x
  3. Step 3: Cross multiply
    65,265.60x = 97,898.40 × 20,893.80
  4. Step 4: Simplify right side
    65,265.60x = 2,045,469,589.92
  5. Step 5: Solve for x
    x = 2,045,469,589.92/65,265.60
  6. Step 6: Final answer
    x = 31,340.70

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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.