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Finding the Fourth Proportional to 37,261, 55,900.14 and 12,637

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Solution

The fourth proportional to 37,261, 55,900.14 and 12,637 is: 18,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,261 : 55,900.14 = 12,637 : x
  2. Step 2: Convert to fraction form
    37,261/55,900.14 = 12,637/x
  3. Step 3: Cross multiply
    37,261x = 55,900.14 × 12,637
  4. Step 4: Simplify right side
    37,261x = 706,410,069.18
  5. Step 5: Solve for x
    x = 706,410,069.18/37,261
  6. Step 6: Final answer
    x = 18,958.43

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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.