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Finding the Fourth Proportional to 65,078.09, 97,632.15 and 27,639.37

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Solution

The fourth proportional to 65,078.09, 97,632.15 and 27,639.37 is: 41,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.09 : 97,632.15 = 27,639.37 : x
  2. Step 2: Convert to fraction form
    65,078.09/97,632.15 = 27,639.37/x
  3. Step 3: Cross multiply
    65,078.09x = 97,632.15 × 27,639.37
  4. Step 4: Simplify right side
    65,078.09x = 2,698,491,117.75
  5. Step 5: Solve for x
    x = 2,698,491,117.75/65,078.09
  6. Step 6: Final answer
    x = 41,465.43

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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.