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Finding the Fourth Proportional to 65,639.04, 98,419.08 and 27,642.96

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Solution

The fourth proportional to 65,639.04, 98,419.08 and 27,642.96 is: 41,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,639.04 : 98,419.08 = 27,642.96 : x
  2. Step 2: Convert to fraction form
    65,639.04/98,419.08 = 27,642.96/x
  3. Step 3: Cross multiply
    65,639.04x = 98,419.08 × 27,642.96
  4. Step 4: Simplify right side
    65,639.04x = 2,720,594,691.68
  5. Step 5: Solve for x
    x = 2,720,594,691.68/65,639.04
  6. Step 6: Final answer
    x = 41,447.81

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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.