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Finding the Fourth Proportional to 32,786.50, 45,245.92 and 17,882.50

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Solution

The fourth proportional to 32,786.50, 45,245.92 and 17,882.50 is: 24,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.50 : 45,245.92 = 17,882.50 : x
  2. Step 2: Convert to fraction form
    32,786.50/45,245.92 = 17,882.50/x
  3. Step 3: Cross multiply
    32,786.50x = 45,245.92 × 17,882.50
  4. Step 4: Simplify right side
    32,786.50x = 809,110,164.40
  5. Step 5: Solve for x
    x = 809,110,164.40/32,786.50
  6. Step 6: Final answer
    x = 24,678.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.