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Finding the Fourth Proportional to 32,203.40, 48,329.40 and 12,230.42

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Solution

The fourth proportional to 32,203.40, 48,329.40 and 12,230.42 is: 18,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.40 : 48,329.40 = 12,230.42 : x
  2. Step 2: Convert to fraction form
    32,203.40/48,329.40 = 12,230.42/x
  3. Step 3: Cross multiply
    32,203.40x = 48,329.40 × 12,230.42
  4. Step 4: Simplify right side
    32,203.40x = 591,088,860.35
  5. Step 5: Solve for x
    x = 591,088,860.35/32,203.40
  6. Step 6: Final answer
    x = 18,354.86

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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.