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Finding the Fourth Proportional to 91,204.56, 136,820.56 and 32,029.84

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Solution

The fourth proportional to 91,204.56, 136,820.56 and 32,029.84 is: 48,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,204.56 : 136,820.56 = 32,029.84 : x
  2. Step 2: Convert to fraction form
    91,204.56/136,820.56 = 32,029.84/x
  3. Step 3: Cross multiply
    91,204.56x = 136,820.56 × 32,029.84
  4. Step 4: Simplify right side
    91,204.56x = 4,382,340,645.51
  5. Step 5: Solve for x
    x = 4,382,340,645.51/91,204.56
  6. Step 6: Final answer
    x = 48,049.58

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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.