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Finding the Fourth Proportional to 132,602.44, 198,904.53 and 37,832.41

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Solution

The fourth proportional to 132,602.44, 198,904.53 and 37,832.41 is: 56,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,602.44 : 198,904.53 = 37,832.41 : x
  2. Step 2: Convert to fraction form
    132,602.44/198,904.53 = 37,832.41/x
  3. Step 3: Cross multiply
    132,602.44x = 198,904.53 × 37,832.41
  4. Step 4: Simplify right side
    132,602.44x = 7,525,037,729.82
  5. Step 5: Solve for x
    x = 7,525,037,729.82/132,602.44
  6. Step 6: Final answer
    x = 56,748.86

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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.