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Finding the Fourth Proportional to 32,230.31, 48,333.65 and 11,164.91

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Solution

The fourth proportional to 32,230.31, 48,333.65 and 11,164.91 is: 16,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.31 : 48,333.65 = 11,164.91 : x
  2. Step 2: Convert to fraction form
    32,230.31/48,333.65 = 11,164.91/x
  3. Step 3: Cross multiply
    32,230.31x = 48,333.65 × 11,164.91
  4. Step 4: Simplify right side
    32,230.31x = 539,640,554.73
  5. Step 5: Solve for x
    x = 539,640,554.73/32,230.31
  6. Step 6: Final answer
    x = 16,743.27

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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.