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Finding the Fourth Proportional to 129,642.15, 194,461.77 and 33,578.92

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Solution

The fourth proportional to 129,642.15, 194,461.77 and 33,578.92 is: 50,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642.15 : 194,461.77 = 33,578.92 : x
  2. Step 2: Convert to fraction form
    129,642.15/194,461.77 = 33,578.92/x
  3. Step 3: Cross multiply
    129,642.15x = 194,461.77 × 33,578.92
  4. Step 4: Simplify right side
    129,642.15x = 6,529,816,217.89
  5. Step 5: Solve for x
    x = 6,529,816,217.89/129,642.15
  6. Step 6: Final answer
    x = 50,368.00

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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.