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Finding the Fourth Proportional to 132,859.56, 199,288.80 and 33,017.88

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Solution

The fourth proportional to 132,859.56, 199,288.80 and 33,017.88 is: 49,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,859.56 : 199,288.80 = 33,017.88 : x
  2. Step 2: Convert to fraction form
    132,859.56/199,288.80 = 33,017.88/x
  3. Step 3: Cross multiply
    132,859.56x = 199,288.80 × 33,017.88
  4. Step 4: Simplify right side
    132,859.56x = 6,580,093,683.74
  5. Step 5: Solve for x
    x = 6,580,093,683.74/132,859.56
  6. Step 6: Final answer
    x = 49,526.69

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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.