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Finding the Fourth Proportional to 65,209.20, 97,813.80 and 30,217.20

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Solution

The fourth proportional to 65,209.20, 97,813.80 and 30,217.20 is: 45,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.20 : 97,813.80 = 30,217.20 : x
  2. Step 2: Convert to fraction form
    65,209.20/97,813.80 = 30,217.20/x
  3. Step 3: Cross multiply
    65,209.20x = 97,813.80 × 30,217.20
  4. Step 4: Simplify right side
    65,209.20x = 2,955,659,157.36
  5. Step 5: Solve for x
    x = 2,955,659,157.36/65,209.20
  6. Step 6: Final answer
    x = 45,325.80

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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.