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Finding the Fourth Proportional to 132,483.67, 198,695.64 and 37,711.75

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Solution

The fourth proportional to 132,483.67, 198,695.64 and 37,711.75 is: 56,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,483.67 : 198,695.64 = 37,711.75 : x
  2. Step 2: Convert to fraction form
    132,483.67/198,695.64 = 37,711.75/x
  3. Step 3: Cross multiply
    132,483.67x = 198,695.64 × 37,711.75
  4. Step 4: Simplify right side
    132,483.67x = 7,493,160,106.88
  5. Step 5: Solve for x
    x = 7,493,160,106.88/132,483.67
  6. Step 6: Final answer
    x = 56,559.12

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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.