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Finding the Fourth Proportional to 65,149.60, 97,647.60 and 33,968.80

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Solution

The fourth proportional to 65,149.60, 97,647.60 and 33,968.80 is: 50,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.60 : 97,647.60 = 33,968.80 : x
  2. Step 2: Convert to fraction form
    65,149.60/97,647.60 = 33,968.80/x
  3. Step 3: Cross multiply
    65,149.60x = 97,647.60 × 33,968.80
  4. Step 4: Simplify right side
    65,149.60x = 3,316,971,794.88
  5. Step 5: Solve for x
    x = 3,316,971,794.88/65,149.60
  6. Step 6: Final answer
    x = 50,913.16

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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.