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Finding the Fourth Proportional to 65,273.96, 97,938.48 and 27,842.24

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Solution

The fourth proportional to 65,273.96, 97,938.48 and 27,842.24 is: 41,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273.96 : 97,938.48 = 27,842.24 : x
  2. Step 2: Convert to fraction form
    65,273.96/97,938.48 = 27,842.24/x
  3. Step 3: Cross multiply
    65,273.96x = 97,938.48 × 27,842.24
  4. Step 4: Simplify right side
    65,273.96x = 2,726,826,665.40
  5. Step 5: Solve for x
    x = 2,726,826,665.40/65,273.96
  6. Step 6: Final answer
    x = 41,775.11

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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.