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Finding the Fourth Proportional to 70,864.49, 106,309.82 and 29,314.73

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Solution

The fourth proportional to 70,864.49, 106,309.82 and 29,314.73 is: 43,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,864.49 : 106,309.82 = 29,314.73 : x
  2. Step 2: Convert to fraction form
    70,864.49/106,309.82 = 29,314.73/x
  3. Step 3: Cross multiply
    70,864.49x = 106,309.82 × 29,314.73
  4. Step 4: Simplify right side
    70,864.49x = 3,116,443,669.65
  5. Step 5: Solve for x
    x = 3,116,443,669.65/70,864.49
  6. Step 6: Final answer
    x = 43,977.51

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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.