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Finding the Fourth Proportional to 129,797.36, 194,686.83 and 35,032.94

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Solution

The fourth proportional to 129,797.36, 194,686.83 and 35,032.94 is: 52,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797.36 : 194,686.83 = 35,032.94 : x
  2. Step 2: Convert to fraction form
    129,797.36/194,686.83 = 35,032.94/x
  3. Step 3: Cross multiply
    129,797.36x = 194,686.83 × 35,032.94
  4. Step 4: Simplify right side
    129,797.36x = 6,820,452,562.89
  5. Step 5: Solve for x
    x = 6,820,452,562.89/129,797.36
  6. Step 6: Final answer
    x = 52,546.93

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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.