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Finding the Fourth Proportional to 37,408.94, 56,071.04 and 12,443.12

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Solution

The fourth proportional to 37,408.94, 56,071.04 and 12,443.12 is: 18,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,408.94 : 56,071.04 = 12,443.12 : x
  2. Step 2: Convert to fraction form
    37,408.94/56,071.04 = 12,443.12/x
  3. Step 3: Cross multiply
    37,408.94x = 56,071.04 × 12,443.12
  4. Step 4: Simplify right side
    37,408.94x = 697,698,546.94
  5. Step 5: Solve for x
    x = 697,698,546.94/37,408.94
  6. Step 6: Final answer
    x = 18,650.58

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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.