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Finding the Fourth Proportional to 101,671.50, 152,507.25 and 27,799.50

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Solution

The fourth proportional to 101,671.50, 152,507.25 and 27,799.50 is: 41,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,671.50 : 152,507.25 = 27,799.50 : x
  2. Step 2: Convert to fraction form
    101,671.50/152,507.25 = 27,799.50/x
  3. Step 3: Cross multiply
    101,671.50x = 152,507.25 × 27,799.50
  4. Step 4: Simplify right side
    101,671.50x = 4,239,625,296.38
  5. Step 5: Solve for x
    x = 4,239,625,296.38/101,671.50
  6. Step 6: Final answer
    x = 41,699.25

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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.