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Finding the Fourth Proportional to 29,109.78, 43,670.88 and 16,635.78

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Solution

The fourth proportional to 29,109.78, 43,670.88 and 16,635.78 is: 24,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,109.78 : 43,670.88 = 16,635.78 : x
  2. Step 2: Convert to fraction form
    29,109.78/43,670.88 = 16,635.78/x
  3. Step 3: Cross multiply
    29,109.78x = 43,670.88 × 16,635.78
  4. Step 4: Simplify right side
    29,109.78x = 726,499,152.09
  5. Step 5: Solve for x
    x = 726,499,152.09/29,109.78
  6. Step 6: Final answer
    x = 24,957.22

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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.