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Finding the Fourth Proportional to 132,597.69, 198,903.09 and 37,841.84

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Solution

The fourth proportional to 132,597.69, 198,903.09 and 37,841.84 is: 56,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,597.69 : 198,903.09 = 37,841.84 : x
  2. Step 2: Convert to fraction form
    132,597.69/198,903.09 = 37,841.84/x
  3. Step 3: Cross multiply
    132,597.69x = 198,903.09 × 37,841.84
  4. Step 4: Simplify right side
    132,597.69x = 7,526,858,907.29
  5. Step 5: Solve for x
    x = 7,526,858,907.29/132,597.69
  6. Step 6: Final answer
    x = 56,764.63

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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.