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Finding the Fourth Proportional to 34,039.72, 50,972.10 and 20,852.11

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Solution

The fourth proportional to 34,039.72, 50,972.10 and 20,852.11 is: 31,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039.72 : 50,972.10 = 20,852.11 : x
  2. Step 2: Convert to fraction form
    34,039.72/50,972.10 = 20,852.11/x
  3. Step 3: Cross multiply
    34,039.72x = 50,972.10 × 20,852.11
  4. Step 4: Simplify right side
    34,039.72x = 1,062,875,836.13
  5. Step 5: Solve for x
    x = 1,062,875,836.13/34,039.72
  6. Step 6: Final answer
    x = 31,224.58

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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.