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Finding the Fourth Proportional to 33,665.46, 50,498.13 and 10,291.89

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Solution

The fourth proportional to 33,665.46, 50,498.13 and 10,291.89 is: 15,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,665.46 : 50,498.13 = 10,291.89 : x
  2. Step 2: Convert to fraction form
    33,665.46/50,498.13 = 10,291.89/x
  3. Step 3: Cross multiply
    33,665.46x = 50,498.13 × 10,291.89
  4. Step 4: Simplify right side
    33,665.46x = 519,721,427.13
  5. Step 5: Solve for x
    x = 519,721,427.13/33,665.46
  6. Step 6: Final answer
    x = 15,437.83

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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.