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Finding the Fourth Proportional to 132,599.43, 198,898.56 and 37,827.54

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Solution

The fourth proportional to 132,599.43, 198,898.56 and 37,827.54 is: 56,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,599.43 : 198,898.56 = 37,827.54 : x
  2. Step 2: Convert to fraction form
    132,599.43/198,898.56 = 37,827.54/x
  3. Step 3: Cross multiply
    132,599.43x = 198,898.56 × 37,827.54
  4. Step 4: Simplify right side
    132,599.43x = 7,523,843,234.34
  5. Step 5: Solve for x
    x = 7,523,843,234.34/132,599.43
  6. Step 6: Final answer
    x = 56,741.14

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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.