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Finding the Fourth Proportional to 91,772.80, 137,659.20 and 32,675.20

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Solution

The fourth proportional to 91,772.80, 137,659.20 and 32,675.20 is: 49,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,772.80 : 137,659.20 = 32,675.20 : x
  2. Step 2: Convert to fraction form
    91,772.80/137,659.20 = 32,675.20/x
  3. Step 3: Cross multiply
    91,772.80x = 137,659.20 × 32,675.20
  4. Step 4: Simplify right side
    91,772.80x = 4,498,041,891.84
  5. Step 5: Solve for x
    x = 4,498,041,891.84/91,772.80
  6. Step 6: Final answer
    x = 49,012.80

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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.