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Finding the Fourth Proportional to 33,641.40, 50,460.27 and 10,266

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Solution

The fourth proportional to 33,641.40, 50,460.27 and 10,266 is: 15,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,641.40 : 50,460.27 = 10,266 : x
  2. Step 2: Convert to fraction form
    33,641.40/50,460.27 = 10,266/x
  3. Step 3: Cross multiply
    33,641.40x = 50,460.27 × 10,266
  4. Step 4: Simplify right side
    33,641.40x = 518,025,131.82
  5. Step 5: Solve for x
    x = 518,025,131.82/33,641.40
  6. Step 6: Final answer
    x = 15,398.44

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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.