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Finding the Fourth Proportional to 61,797.60, 92,674.80 and 32,205.60

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Solution

The fourth proportional to 61,797.60, 92,674.80 and 32,205.60 is: 48,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,797.60 : 92,674.80 = 32,205.60 : x
  2. Step 2: Convert to fraction form
    61,797.60/92,674.80 = 32,205.60/x
  3. Step 3: Cross multiply
    61,797.60x = 92,674.80 × 32,205.60
  4. Step 4: Simplify right side
    61,797.60x = 2,984,647,538.88
  5. Step 5: Solve for x
    x = 2,984,647,538.88/61,797.60
  6. Step 6: Final answer
    x = 48,297.14

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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.