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Finding the Fourth Proportional to 65,672.52, 98,532.05 and 32,415.90

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Solution

The fourth proportional to 65,672.52, 98,532.05 and 32,415.90 is: 48,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672.52 : 98,532.05 = 32,415.90 : x
  2. Step 2: Convert to fraction form
    65,672.52/98,532.05 = 32,415.90/x
  3. Step 3: Cross multiply
    65,672.52x = 98,532.05 × 32,415.90
  4. Step 4: Simplify right side
    65,672.52x = 3,194,004,917.52
  5. Step 5: Solve for x
    x = 3,194,004,917.52/65,672.52
  6. Step 6: Final answer
    x = 48,635.33

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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.