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Finding the Fourth Proportional to 65,683.60, 98,532.24 and 21,308.56

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Solution

The fourth proportional to 65,683.60, 98,532.24 and 21,308.56 is: 31,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,683.60 : 98,532.24 = 21,308.56 : x
  2. Step 2: Convert to fraction form
    65,683.60/98,532.24 = 21,308.56/x
  3. Step 3: Cross multiply
    65,683.60x = 98,532.24 × 21,308.56
  4. Step 4: Simplify right side
    65,683.60x = 2,099,580,147.97
  5. Step 5: Solve for x
    x = 2,099,580,147.97/65,683.60
  6. Step 6: Final answer
    x = 31,965.06

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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.