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Finding the Fourth Proportional to 33,598.06, 50,402.52 and 10,219

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Solution

The fourth proportional to 33,598.06, 50,402.52 and 10,219 is: 15,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.06 : 50,402.52 = 10,219 : x
  2. Step 2: Convert to fraction form
    33,598.06/50,402.52 = 10,219/x
  3. Step 3: Cross multiply
    33,598.06x = 50,402.52 × 10,219
  4. Step 4: Simplify right side
    33,598.06x = 515,063,351.88
  5. Step 5: Solve for x
    x = 515,063,351.88/33,598.06
  6. Step 6: Final answer
    x = 15,330.15

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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.