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Finding the Fourth Proportional to 65,772.64, 98,659.86 and 21,399.62

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Solution

The fourth proportional to 65,772.64, 98,659.86 and 21,399.62 is: 32,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772.64 : 98,659.86 = 21,399.62 : x
  2. Step 2: Convert to fraction form
    65,772.64/98,659.86 = 21,399.62/x
  3. Step 3: Cross multiply
    65,772.64x = 98,659.86 × 21,399.62
  4. Step 4: Simplify right side
    65,772.64x = 2,111,283,513.25
  5. Step 5: Solve for x
    x = 2,111,283,513.25/65,772.64
  6. Step 6: Final answer
    x = 32,099.72

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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.