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Finding the Fourth Proportional to 78,141.78, 117,198.66 and 21,968.42

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Solution

The fourth proportional to 78,141.78, 117,198.66 and 21,968.42 is: 32,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.78 : 117,198.66 = 21,968.42 : x
  2. Step 2: Convert to fraction form
    78,141.78/117,198.66 = 21,968.42/x
  3. Step 3: Cross multiply
    78,141.78x = 117,198.66 × 21,968.42
  4. Step 4: Simplify right side
    78,141.78x = 2,574,668,882.71
  5. Step 5: Solve for x
    x = 2,574,668,882.71/78,141.78
  6. Step 6: Final answer
    x = 32,948.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.