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Finding the Fourth Proportional to 65,267.60, 97,824.60 and 34,086.80

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Solution

The fourth proportional to 65,267.60, 97,824.60 and 34,086.80 is: 51,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,267.60 : 97,824.60 = 34,086.80 : x
  2. Step 2: Convert to fraction form
    65,267.60/97,824.60 = 34,086.80/x
  3. Step 3: Cross multiply
    65,267.60x = 97,824.60 × 34,086.80
  4. Step 4: Simplify right side
    65,267.60x = 3,334,527,575.28
  5. Step 5: Solve for x
    x = 3,334,527,575.28/65,267.60
  6. Step 6: Final answer
    x = 51,090.09

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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.