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Finding the Fourth Proportional to 72,982.96, 109,479.06 and 30,857.50

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Solution

The fourth proportional to 72,982.96, 109,479.06 and 30,857.50 is: 46,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.96 : 109,479.06 = 30,857.50 : x
  2. Step 2: Convert to fraction form
    72,982.96/109,479.06 = 30,857.50/x
  3. Step 3: Cross multiply
    72,982.96x = 109,479.06 × 30,857.50
  4. Step 4: Simplify right side
    72,982.96x = 3,378,250,093.95
  5. Step 5: Solve for x
    x = 3,378,250,093.95/72,982.96
  6. Step 6: Final answer
    x = 46,288.20

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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.