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Finding the Fourth Proportional to 34,494.19, 51,719.03 and 16,472.66

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Solution

The fourth proportional to 34,494.19, 51,719.03 and 16,472.66 is: 24,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494.19 : 51,719.03 = 16,472.66 : x
  2. Step 2: Convert to fraction form
    34,494.19/51,719.03 = 16,472.66/x
  3. Step 3: Cross multiply
    34,494.19x = 51,719.03 × 16,472.66
  4. Step 4: Simplify right side
    34,494.19x = 851,949,914.36
  5. Step 5: Solve for x
    x = 851,949,914.36/34,494.19
  6. Step 6: Final answer
    x = 24,698.36

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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.