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Finding the Fourth Proportional to 65,108.48, 97,668.48 and 35,513.60

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Solution

The fourth proportional to 65,108.48, 97,668.48 and 35,513.60 is: 53,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.48 : 97,668.48 = 35,513.60 : x
  2. Step 2: Convert to fraction form
    65,108.48/97,668.48 = 35,513.60/x
  3. Step 3: Cross multiply
    65,108.48x = 97,668.48 × 35,513.60
  4. Step 4: Simplify right side
    65,108.48x = 3,468,559,331.33
  5. Step 5: Solve for x
    x = 3,468,559,331.33/65,108.48
  6. Step 6: Final answer
    x = 53,273.54

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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.