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Finding the Fourth Proportional to 51,239, 70,709.82 and 27,687

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Solution

The fourth proportional to 51,239, 70,709.82 and 27,687 is: 38,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,239 : 70,709.82 = 27,687 : x
  2. Step 2: Convert to fraction form
    51,239/70,709.82 = 27,687/x
  3. Step 3: Cross multiply
    51,239x = 70,709.82 × 27,687
  4. Step 4: Simplify right side
    51,239x = 1,957,742,786.34
  5. Step 5: Solve for x
    x = 1,957,742,786.34/51,239
  6. Step 6: Final answer
    x = 38,208.06

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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.