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Finding the Fourth Proportional to 65,841.96, 98,532.90 and 53,857.20

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Solution

The fourth proportional to 65,841.96, 98,532.90 and 53,857.20 is: 80,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841.96 : 98,532.90 = 53,857.20 : x
  2. Step 2: Convert to fraction form
    65,841.96/98,532.90 = 53,857.20/x
  3. Step 3: Cross multiply
    65,841.96x = 98,532.90 × 53,857.20
  4. Step 4: Simplify right side
    65,841.96x = 5,306,706,101.88
  5. Step 5: Solve for x
    x = 5,306,706,101.88/65,841.96
  6. Step 6: Final answer
    x = 80,597.63

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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.