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Finding the Fourth Proportional to 129,591.89, 194,254.52 and 49,611.02

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Solution

The fourth proportional to 129,591.89, 194,254.52 and 49,611.02 is: 74,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,591.89 : 194,254.52 = 49,611.02 : x
  2. Step 2: Convert to fraction form
    129,591.89/194,254.52 = 49,611.02/x
  3. Step 3: Cross multiply
    129,591.89x = 194,254.52 × 49,611.02
  4. Step 4: Simplify right side
    129,591.89x = 9,637,164,029.57
  5. Step 5: Solve for x
    x = 9,637,164,029.57/129,591.89
  6. Step 6: Final answer
    x = 74,365.49

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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.