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Finding the Fourth Proportional to 82,184.80, 123,276.80 and 32,229.60

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Solution

The fourth proportional to 82,184.80, 123,276.80 and 32,229.60 is: 48,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,184.80 : 123,276.80 = 32,229.60 : x
  2. Step 2: Convert to fraction form
    82,184.80/123,276.80 = 32,229.60/x
  3. Step 3: Cross multiply
    82,184.80x = 123,276.80 × 32,229.60
  4. Step 4: Simplify right side
    82,184.80x = 3,973,161,953.28
  5. Step 5: Solve for x
    x = 3,973,161,953.28/82,184.80
  6. Step 6: Final answer
    x = 48,344.24

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1.5x scale

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.