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Finding the Fourth Proportional to 37,191.76, 55,776.12 and 12,562

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Solution

The fourth proportional to 37,191.76, 55,776.12 and 12,562 is: 18,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,191.76 : 55,776.12 = 12,562 : x
  2. Step 2: Convert to fraction form
    37,191.76/55,776.12 = 12,562/x
  3. Step 3: Cross multiply
    37,191.76x = 55,776.12 × 12,562
  4. Step 4: Simplify right side
    37,191.76x = 700,659,619.44
  5. Step 5: Solve for x
    x = 700,659,619.44/37,191.76
  6. Step 6: Final answer
    x = 18,839.11

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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.