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Finding the Fourth Proportional to 100,013.31, 149,988.69 and 33,437.93

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Solution

The fourth proportional to 100,013.31, 149,988.69 and 33,437.93 is: 50,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.31 : 149,988.69 = 33,437.93 : x
  2. Step 2: Convert to fraction form
    100,013.31/149,988.69 = 33,437.93/x
  3. Step 3: Cross multiply
    100,013.31x = 149,988.69 × 33,437.93
  4. Step 4: Simplify right side
    100,013.31x = 5,015,310,567.07
  5. Step 5: Solve for x
    x = 5,015,310,567.07/100,013.31
  6. Step 6: Final answer
    x = 50,146.43

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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.