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Finding the Fourth Proportional to 65,681.40, 98,546.40 and 21,309.60

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Solution

The fourth proportional to 65,681.40, 98,546.40 and 21,309.60 is: 31,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,681.40 : 98,546.40 = 21,309.60 : x
  2. Step 2: Convert to fraction form
    65,681.40/98,546.40 = 21,309.60/x
  3. Step 3: Cross multiply
    65,681.40x = 98,546.40 × 21,309.60
  4. Step 4: Simplify right side
    65,681.40x = 2,099,984,365.44
  5. Step 5: Solve for x
    x = 2,099,984,365.44/65,681.40
  6. Step 6: Final answer
    x = 31,972.28

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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.