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Finding the Fourth Proportional to 132,471.53, 198,716.33 and 37,709.12

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Solution

The fourth proportional to 132,471.53, 198,716.33 and 37,709.12 is: 56,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,471.53 : 198,716.33 = 37,709.12 : x
  2. Step 2: Convert to fraction form
    132,471.53/198,716.33 = 37,709.12/x
  3. Step 3: Cross multiply
    132,471.53x = 198,716.33 × 37,709.12
  4. Step 4: Simplify right side
    132,471.53x = 7,493,418,242.17
  5. Step 5: Solve for x
    x = 7,493,418,242.17/132,471.53
  6. Step 6: Final answer
    x = 56,566.26

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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.