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Finding the Fourth Proportional to 129,294.74, 193,942.14 and 35,800.49

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Solution

The fourth proportional to 129,294.74, 193,942.14 and 35,800.49 is: 53,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,294.74 : 193,942.14 = 35,800.49 : x
  2. Step 2: Convert to fraction form
    129,294.74/193,942.14 = 35,800.49/x
  3. Step 3: Cross multiply
    129,294.74x = 193,942.14 × 35,800.49
  4. Step 4: Simplify right side
    129,294.74x = 6,943,222,673.94
  5. Step 5: Solve for x
    x = 6,943,222,673.94/129,294.74
  6. Step 6: Final answer
    x = 53,700.74

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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.