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Finding the Fourth Proportional to 45,191.16, 67,780.98 and 11,911.50

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Solution

The fourth proportional to 45,191.16, 67,780.98 and 11,911.50 is: 17,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,191.16 : 67,780.98 = 11,911.50 : x
  2. Step 2: Convert to fraction form
    45,191.16/67,780.98 = 11,911.50/x
  3. Step 3: Cross multiply
    45,191.16x = 67,780.98 × 11,911.50
  4. Step 4: Simplify right side
    45,191.16x = 807,373,143.27
  5. Step 5: Solve for x
    x = 807,373,143.27/45,191.16
  6. Step 6: Final answer
    x = 17,865.73

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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.