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Finding the Fourth Proportional to 36,726.76, 55,078.62 and 12,097

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Solution

The fourth proportional to 36,726.76, 55,078.62 and 12,097 is: 18,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,726.76 : 55,078.62 = 12,097 : x
  2. Step 2: Convert to fraction form
    36,726.76/55,078.62 = 12,097/x
  3. Step 3: Cross multiply
    36,726.76x = 55,078.62 × 12,097
  4. Step 4: Simplify right side
    36,726.76x = 666,286,066.14
  5. Step 5: Solve for x
    x = 666,286,066.14/36,726.76
  6. Step 6: Final answer
    x = 18,141.71

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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.