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Finding the Fourth Proportional to 34,912.30, 48,196.19 and 27,345.58

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Solution

The fourth proportional to 34,912.30, 48,196.19 and 27,345.58 is: 37,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912.30 : 48,196.19 = 27,345.58 : x
  2. Step 2: Convert to fraction form
    34,912.30/48,196.19 = 27,345.58/x
  3. Step 3: Cross multiply
    34,912.30x = 48,196.19 × 27,345.58
  4. Step 4: Simplify right side
    34,912.30x = 1,317,952,769.34
  5. Step 5: Solve for x
    x = 1,317,952,769.34/34,912.30
  6. Step 6: Final answer
    x = 37,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.