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Finding the Fourth Proportional to 129,833.56, 194,750.34 and 31,337.56

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Solution

The fourth proportional to 129,833.56, 194,750.34 and 31,337.56 is: 47,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833.56 : 194,750.34 = 31,337.56 : x
  2. Step 2: Convert to fraction form
    129,833.56/194,750.34 = 31,337.56/x
  3. Step 3: Cross multiply
    129,833.56x = 194,750.34 × 31,337.56
  4. Step 4: Simplify right side
    129,833.56x = 6,102,999,860.38
  5. Step 5: Solve for x
    x = 6,102,999,860.38/129,833.56
  6. Step 6: Final answer
    x = 47,006.34

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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.