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Finding the Fourth Proportional to 65,273.10, 97,763.85 and 53,609.10

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Solution

The fourth proportional to 65,273.10, 97,763.85 and 53,609.10 is: 80,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273.10 : 97,763.85 = 53,609.10 : x
  2. Step 2: Convert to fraction form
    65,273.10/97,763.85 = 53,609.10/x
  3. Step 3: Cross multiply
    65,273.10x = 97,763.85 × 53,609.10
  4. Step 4: Simplify right side
    65,273.10x = 5,241,032,011.04
  5. Step 5: Solve for x
    x = 5,241,032,011.04/65,273.10
  6. Step 6: Final answer
    x = 80,293.90

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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.