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Finding the Fourth Proportional to 65,743.80, 98,615.70 and 65,052.60

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Solution

The fourth proportional to 65,743.80, 98,615.70 and 65,052.60 is: 97,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.80 : 98,615.70 = 65,052.60 : x
  2. Step 2: Convert to fraction form
    65,743.80/98,615.70 = 65,052.60/x
  3. Step 3: Cross multiply
    65,743.80x = 98,615.70 × 65,052.60
  4. Step 4: Simplify right side
    65,743.80x = 6,415,207,685.82
  5. Step 5: Solve for x
    x = 6,415,207,685.82/65,743.80
  6. Step 6: Final answer
    x = 97,578.90

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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.