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Finding the Fourth Proportional to 27,146.85, 37,447.62 and 17,071.62

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Solution

The fourth proportional to 27,146.85, 37,447.62 and 17,071.62 is: 23,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.85 : 37,447.62 = 17,071.62 : x
  2. Step 2: Convert to fraction form
    27,146.85/37,447.62 = 17,071.62/x
  3. Step 3: Cross multiply
    27,146.85x = 37,447.62 × 17,071.62
  4. Step 4: Simplify right side
    27,146.85x = 639,291,538.54
  5. Step 5: Solve for x
    x = 639,291,538.54/27,146.85
  6. Step 6: Final answer
    x = 23,549.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.