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Finding the Fourth Proportional to 37,644.40, 56,471.97 and 12,338.50

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Solution

The fourth proportional to 37,644.40, 56,471.97 and 12,338.50 is: 18,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.40 : 56,471.97 = 12,338.50 : x
  2. Step 2: Convert to fraction form
    37,644.40/56,471.97 = 12,338.50/x
  3. Step 3: Cross multiply
    37,644.40x = 56,471.97 × 12,338.50
  4. Step 4: Simplify right side
    37,644.40x = 696,779,401.85
  5. Step 5: Solve for x
    x = 696,779,401.85/37,644.40
  6. Step 6: Final answer
    x = 18,509.51

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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.