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Finding the Fourth Proportional to 65,122.92, 97,609.86 and 27,628.02

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Solution

The fourth proportional to 65,122.92, 97,609.86 and 27,628.02 is: 41,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.92 : 97,609.86 = 27,628.02 : x
  2. Step 2: Convert to fraction form
    65,122.92/97,609.86 = 27,628.02/x
  3. Step 3: Cross multiply
    65,122.92x = 97,609.86 × 27,628.02
  4. Step 4: Simplify right side
    65,122.92x = 2,696,767,164.28
  5. Step 5: Solve for x
    x = 2,696,767,164.28/65,122.92
  6. Step 6: Final answer
    x = 41,410.42

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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.