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Finding the Fourth Proportional to 126,993.84, 190,472.04 and 33,506.16

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Solution

The fourth proportional to 126,993.84, 190,472.04 and 33,506.16 is: 50,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,993.84 : 190,472.04 = 33,506.16 : x
  2. Step 2: Convert to fraction form
    126,993.84/190,472.04 = 33,506.16/x
  3. Step 3: Cross multiply
    126,993.84x = 190,472.04 × 33,506.16
  4. Step 4: Simplify right side
    126,993.84x = 6,381,986,647.77
  5. Step 5: Solve for x
    x = 6,381,986,647.77/126,993.84
  6. Step 6: Final answer
    x = 50,254.30

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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.