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Finding the Fourth Proportional to 32,057.80, 48,086.94 and 8,684.20

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Solution

The fourth proportional to 32,057.80, 48,086.94 and 8,684.20 is: 13,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.80 : 48,086.94 = 8,684.20 : x
  2. Step 2: Convert to fraction form
    32,057.80/48,086.94 = 8,684.20/x
  3. Step 3: Cross multiply
    32,057.80x = 48,086.94 × 8,684.20
  4. Step 4: Simplify right side
    32,057.80x = 417,596,604.35
  5. Step 5: Solve for x
    x = 417,596,604.35/32,057.80
  6. Step 6: Final answer
    x = 13,026.37

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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.