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Finding the Fourth Proportional to 37,103.46, 55,660.65 and 13,412.78

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Solution

The fourth proportional to 37,103.46, 55,660.65 and 13,412.78 is: 20,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,103.46 : 55,660.65 = 13,412.78 : x
  2. Step 2: Convert to fraction form
    37,103.46/55,660.65 = 13,412.78/x
  3. Step 3: Cross multiply
    37,103.46x = 55,660.65 × 13,412.78
  4. Step 4: Simplify right side
    37,103.46x = 746,564,053.11
  5. Step 5: Solve for x
    x = 746,564,053.11/37,103.46
  6. Step 6: Final answer
    x = 20,121.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.