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Finding the Fourth Proportional to 37,103.50, 55,617.99 and 18,397.14

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Solution

The fourth proportional to 37,103.50, 55,617.99 and 18,397.14 is: 27,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.50 : 55,617.99 = 18,397.14 : x
  2. Step 2: Convert to fraction form
    37,103.50/55,617.99 = 18,397.14/x
  3. Step 3: Cross multiply
    37,103.50x = 55,617.99 × 18,397.14
  4. Step 4: Simplify right side
    37,103.50x = 1,023,211,948.55
  5. Step 5: Solve for x
    x = 1,023,211,948.55/37,103.50
  6. Step 6: Final answer
    x = 27,577.24

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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.