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Finding the Fourth Proportional to 72,805.19, 109,207.83 and 20,214.68

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Solution

The fourth proportional to 72,805.19, 109,207.83 and 20,214.68 is: 30,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.19 : 109,207.83 = 20,214.68 : x
  2. Step 2: Convert to fraction form
    72,805.19/109,207.83 = 20,214.68/x
  3. Step 3: Cross multiply
    72,805.19x = 109,207.83 × 20,214.68
  4. Step 4: Simplify right side
    72,805.19x = 2,207,601,336.94
  5. Step 5: Solve for x
    x = 2,207,601,336.94/72,805.19
  6. Step 6: Final answer
    x = 30,322.03

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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.