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Finding the Fourth Proportional to 65,212.80, 97,819.20 and 52,090.80

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Solution

The fourth proportional to 65,212.80, 97,819.20 and 52,090.80 is: 78,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.80 : 97,819.20 = 52,090.80 : x
  2. Step 2: Convert to fraction form
    65,212.80/97,819.20 = 52,090.80/x
  3. Step 3: Cross multiply
    65,212.80x = 97,819.20 × 52,090.80
  4. Step 4: Simplify right side
    65,212.80x = 5,095,480,383.36
  5. Step 5: Solve for x
    x = 5,095,480,383.36/65,212.80
  6. Step 6: Final answer
    x = 78,136.20

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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.