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Finding the Fourth Proportional to 70,678.71, 106,031.07 and 23,296.62

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Solution

The fourth proportional to 70,678.71, 106,031.07 and 23,296.62 is: 34,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.71 : 106,031.07 = 23,296.62 : x
  2. Step 2: Convert to fraction form
    70,678.71/106,031.07 = 23,296.62/x
  3. Step 3: Cross multiply
    70,678.71x = 106,031.07 × 23,296.62
  4. Step 4: Simplify right side
    70,678.71x = 2,470,165,545.98
  5. Step 5: Solve for x
    x = 2,470,165,545.98/70,678.71
  6. Step 6: Final answer
    x = 34,949.22

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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.