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Finding the Fourth Proportional to 37,231.40, 55,848 and 10,936.98

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Solution

The fourth proportional to 37,231.40, 55,848 and 10,936.98 is: 16,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231.40 : 55,848 = 10,936.98 : x
  2. Step 2: Convert to fraction form
    37,231.40/55,848 = 10,936.98/x
  3. Step 3: Cross multiply
    37,231.40x = 55,848 × 10,936.98
  4. Step 4: Simplify right side
    37,231.40x = 610,808,459.04
  5. Step 5: Solve for x
    x = 610,808,459.04/37,231.40
  6. Step 6: Final answer
    x = 16,405.73

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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.