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Finding the Fourth Proportional to 129,376.89, 194,065.32 and 35,882.64

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Solution

The fourth proportional to 129,376.89, 194,065.32 and 35,882.64 is: 53,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,376.89 : 194,065.32 = 35,882.64 : x
  2. Step 2: Convert to fraction form
    129,376.89/194,065.32 = 35,882.64/x
  3. Step 3: Cross multiply
    129,376.89x = 194,065.32 × 35,882.64
  4. Step 4: Simplify right side
    129,376.89x = 6,963,576,014.04
  5. Step 5: Solve for x
    x = 6,963,576,014.04/129,376.89
  6. Step 6: Final answer
    x = 53,823.96

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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.