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Finding the Fourth Proportional to 65,207.51, 97,825.21 and 20,227.89

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Solution

The fourth proportional to 65,207.51, 97,825.21 and 20,227.89 is: 30,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.51 : 97,825.21 = 20,227.89 : x
  2. Step 2: Convert to fraction form
    65,207.51/97,825.21 = 20,227.89/x
  3. Step 3: Cross multiply
    65,207.51x = 97,825.21 × 20,227.89
  4. Step 4: Simplify right side
    65,207.51x = 1,978,797,186.06
  5. Step 5: Solve for x
    x = 1,978,797,186.06/65,207.51
  6. Step 6: Final answer
    x = 30,346.16

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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.