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Finding the Fourth Proportional to 65,162.28, 97,675.02 and 27,713.64

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Solution

The fourth proportional to 65,162.28, 97,675.02 and 27,713.64 is: 41,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,162.28 : 97,675.02 = 27,713.64 : x
  2. Step 2: Convert to fraction form
    65,162.28/97,675.02 = 27,713.64/x
  3. Step 3: Cross multiply
    65,162.28x = 97,675.02 × 27,713.64
  4. Step 4: Simplify right side
    65,162.28x = 2,706,930,341.27
  5. Step 5: Solve for x
    x = 2,706,930,341.27/65,162.28
  6. Step 6: Final answer
    x = 41,541.37

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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.