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Finding the Fourth Proportional to 70,935.84, 106,418.34 and 29,382.84

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Solution

The fourth proportional to 70,935.84, 106,418.34 and 29,382.84 is: 44,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,935.84 : 106,418.34 = 29,382.84 : x
  2. Step 2: Convert to fraction form
    70,935.84/106,418.34 = 29,382.84/x
  3. Step 3: Cross multiply
    70,935.84x = 106,418.34 × 29,382.84
  4. Step 4: Simplify right side
    70,935.84x = 3,126,873,057.29
  5. Step 5: Solve for x
    x = 3,126,873,057.29/70,935.84
  6. Step 6: Final answer
    x = 44,080.30

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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.