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Finding the Fourth Proportional to 132,494.82, 198,737.64 and 37,725.60

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Solution

The fourth proportional to 132,494.82, 198,737.64 and 37,725.60 is: 56,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,494.82 : 198,737.64 = 37,725.60 : x
  2. Step 2: Convert to fraction form
    132,494.82/198,737.64 = 37,725.60/x
  3. Step 3: Cross multiply
    132,494.82x = 198,737.64 × 37,725.60
  4. Step 4: Simplify right side
    132,494.82x = 7,497,496,711.58
  5. Step 5: Solve for x
    x = 7,497,496,711.58/132,494.82
  6. Step 6: Final answer
    x = 56,587.09

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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.