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Finding the Fourth Proportional to 37,597.76, 56,388 and 12,633.92

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Solution

The fourth proportional to 37,597.76, 56,388 and 12,633.92 is: 18,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597.76 : 56,388 = 12,633.92 : x
  2. Step 2: Convert to fraction form
    37,597.76/56,388 = 12,633.92/x
  3. Step 3: Cross multiply
    37,597.76x = 56,388 × 12,633.92
  4. Step 4: Simplify right side
    37,597.76x = 712,401,480.96
  5. Step 5: Solve for x
    x = 712,401,480.96/37,597.76
  6. Step 6: Final answer
    x = 18,947.98

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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.