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Finding the Fourth Proportional to 29,694.52, 40,978.91 and 16,267.05

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Solution

The fourth proportional to 29,694.52, 40,978.91 and 16,267.05 is: 22,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.52 : 40,978.91 = 16,267.05 : x
  2. Step 2: Convert to fraction form
    29,694.52/40,978.91 = 16,267.05/x
  3. Step 3: Cross multiply
    29,694.52x = 40,978.91 × 16,267.05
  4. Step 4: Simplify right side
    29,694.52x = 666,605,977.92
  5. Step 5: Solve for x
    x = 666,605,977.92/29,694.52
  6. Step 6: Final answer
    x = 22,448.79

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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.