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Finding the Fourth Proportional to 96,234.12, 144,347.94 and 33,903

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Solution

The fourth proportional to 96,234.12, 144,347.94 and 33,903 is: 50,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234.12 : 144,347.94 = 33,903 : x
  2. Step 2: Convert to fraction form
    96,234.12/144,347.94 = 33,903/x
  3. Step 3: Cross multiply
    96,234.12x = 144,347.94 × 33,903
  4. Step 4: Simplify right side
    96,234.12x = 4,893,828,209.82
  5. Step 5: Solve for x
    x = 4,893,828,209.82/96,234.12
  6. Step 6: Final answer
    x = 50,853.36

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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.