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Finding the Fourth Proportional to 72,800.50, 109,201.35 and 20,214.08

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Solution

The fourth proportional to 72,800.50, 109,201.35 and 20,214.08 is: 30,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800.50 : 109,201.35 = 20,214.08 : x
  2. Step 2: Convert to fraction form
    72,800.50/109,201.35 = 20,214.08/x
  3. Step 3: Cross multiply
    72,800.50x = 109,201.35 × 20,214.08
  4. Step 4: Simplify right side
    72,800.50x = 2,207,404,825.01
  5. Step 5: Solve for x
    x = 2,207,404,825.01/72,800.50
  6. Step 6: Final answer
    x = 30,321.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.