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Finding the Fourth Proportional to 132,602.94, 198,910.98 and 37,847.12

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Solution

The fourth proportional to 132,602.94, 198,910.98 and 37,847.12 is: 56,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,602.94 : 198,910.98 = 37,847.12 : x
  2. Step 2: Convert to fraction form
    132,602.94/198,910.98 = 37,847.12/x
  3. Step 3: Cross multiply
    132,602.94x = 198,910.98 × 37,847.12
  4. Step 4: Simplify right side
    132,602.94x = 7,528,206,734.82
  5. Step 5: Solve for x
    x = 7,528,206,734.82/132,602.94
  6. Step 6: Final answer
    x = 56,772.55

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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.