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Finding the Fourth Proportional to 65,025.69, 97,540.54 and 17,640.60

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Solution

The fourth proportional to 65,025.69, 97,540.54 and 17,640.60 is: 26,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,025.69 : 97,540.54 = 17,640.60 : x
  2. Step 2: Convert to fraction form
    65,025.69/97,540.54 = 17,640.60/x
  3. Step 3: Cross multiply
    65,025.69x = 97,540.54 × 17,640.60
  4. Step 4: Simplify right side
    65,025.69x = 1,720,673,451.63
  5. Step 5: Solve for x
    x = 1,720,673,451.63/65,025.69
  6. Step 6: Final answer
    x = 26,461.44

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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.