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Finding the Fourth Proportional to 107,677, 161,516.94 and 33,805

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Solution

The fourth proportional to 107,677, 161,516.94 and 33,805 is: 50,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,677 : 161,516.94 = 33,805 : x
  2. Step 2: Convert to fraction form
    107,677/161,516.94 = 33,805/x
  3. Step 3: Cross multiply
    107,677x = 161,516.94 × 33,805
  4. Step 4: Simplify right side
    107,677x = 5,460,080,156.70
  5. Step 5: Solve for x
    x = 5,460,080,156.70/107,677
  6. Step 6: Final answer
    x = 50,707.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.