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Finding the Fourth Proportional to 37,691.40, 56,538 and 11,396.04

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Solution

The fourth proportional to 37,691.40, 56,538 and 11,396.04 is: 17,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,691.40 : 56,538 = 11,396.04 : x
  2. Step 2: Convert to fraction form
    37,691.40/56,538 = 11,396.04/x
  3. Step 3: Cross multiply
    37,691.40x = 56,538 × 11,396.04
  4. Step 4: Simplify right side
    37,691.40x = 644,309,309.52
  5. Step 5: Solve for x
    x = 644,309,309.52/37,691.40
  6. Step 6: Final answer
    x = 17,094.33

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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.