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Finding the Fourth Proportional to 65,120.10, 97,593.88 and 33,528.88

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Solution

The fourth proportional to 65,120.10, 97,593.88 and 33,528.88 is: 50,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120.10 : 97,593.88 = 33,528.88 : x
  2. Step 2: Convert to fraction form
    65,120.10/97,593.88 = 33,528.88/x
  3. Step 3: Cross multiply
    65,120.10x = 97,593.88 × 33,528.88
  4. Step 4: Simplify right side
    65,120.10x = 3,272,213,491.25
  5. Step 5: Solve for x
    x = 3,272,213,491.25/65,120.10
  6. Step 6: Final answer
    x = 50,248.90

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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.