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Finding the Fourth Proportional to 65,242.28, 97,863.41 and 18,495.56

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Solution

The fourth proportional to 65,242.28, 97,863.41 and 18,495.56 is: 27,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.28 : 97,863.41 = 18,495.56 : x
  2. Step 2: Convert to fraction form
    65,242.28/97,863.41 = 18,495.56/x
  3. Step 3: Cross multiply
    65,242.28x = 97,863.41 × 18,495.56
  4. Step 4: Simplify right side
    65,242.28x = 1,810,038,128.38
  5. Step 5: Solve for x
    x = 1,810,038,128.38/65,242.28
  6. Step 6: Final answer
    x = 27,743.33

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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.