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Finding the Fourth Proportional to 37,106.70, 55,668.15 and 12,147.90

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Solution

The fourth proportional to 37,106.70, 55,668.15 and 12,147.90 is: 18,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,106.70 : 55,668.15 = 12,147.90 : x
  2. Step 2: Convert to fraction form
    37,106.70/55,668.15 = 12,147.90/x
  3. Step 3: Cross multiply
    37,106.70x = 55,668.15 × 12,147.90
  4. Step 4: Simplify right side
    37,106.70x = 676,251,119.39
  5. Step 5: Solve for x
    x = 676,251,119.39/37,106.70
  6. Step 6: Final answer
    x = 18,224.50

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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.