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Finding the Fourth Proportional to 65,208.69, 97,827.08 and 20,229.14

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Solution

The fourth proportional to 65,208.69, 97,827.08 and 20,229.14 is: 30,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.69 : 97,827.08 = 20,229.14 : x
  2. Step 2: Convert to fraction form
    65,208.69/97,827.08 = 20,229.14/x
  3. Step 3: Cross multiply
    65,208.69x = 97,827.08 × 20,229.14
  4. Step 4: Simplify right side
    65,208.69x = 1,978,957,106.83
  5. Step 5: Solve for x
    x = 1,978,957,106.83/65,208.69
  6. Step 6: Final answer
    x = 30,348.06

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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.