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Finding the Fourth Proportional to 78,031.78, 107,644.18 and 47,396.72

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Solution

The fourth proportional to 78,031.78, 107,644.18 and 47,396.72 is: 65,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.78 : 107,644.18 = 47,396.72 : x
  2. Step 2: Convert to fraction form
    78,031.78/107,644.18 = 47,396.72/x
  3. Step 3: Cross multiply
    78,031.78x = 107,644.18 × 47,396.72
  4. Step 4: Simplify right side
    78,031.78x = 5,101,981,059.09
  5. Step 5: Solve for x
    x = 5,101,981,059.09/78,031.78
  6. Step 6: Final answer
    x = 65,383.38

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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.