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Finding the Fourth Proportional to 27,883.76, 38,266.14 and 27,686.93

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Solution

The fourth proportional to 27,883.76, 38,266.14 and 27,686.93 is: 37,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.76 : 38,266.14 = 27,686.93 : x
  2. Step 2: Convert to fraction form
    27,883.76/38,266.14 = 27,686.93/x
  3. Step 3: Cross multiply
    27,883.76x = 38,266.14 × 27,686.93
  4. Step 4: Simplify right side
    27,883.76x = 1,059,471,939.55
  5. Step 5: Solve for x
    x = 1,059,471,939.55/27,883.76
  6. Step 6: Final answer
    x = 37,996.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.