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Finding the Fourth Proportional to 62,678.34, 86,493.83 and 34,383.42

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Solution

The fourth proportional to 62,678.34, 86,493.83 and 34,383.42 is: 47,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,678.34 : 86,493.83 = 34,383.42 : x
  2. Step 2: Convert to fraction form
    62,678.34/86,493.83 = 34,383.42/x
  3. Step 3: Cross multiply
    62,678.34x = 86,493.83 × 34,383.42
  4. Step 4: Simplify right side
    62,678.34x = 2,973,953,512.38
  5. Step 5: Solve for x
    x = 2,973,953,512.38/62,678.34
  6. Step 6: Final answer
    x = 47,447.87

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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.