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Finding the Fourth Proportional to 34,480.86, 51,729.42 and 11,106.42

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Solution

The fourth proportional to 34,480.86, 51,729.42 and 11,106.42 is: 16,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480.86 : 51,729.42 = 11,106.42 : x
  2. Step 2: Convert to fraction form
    34,480.86/51,729.42 = 11,106.42/x
  3. Step 3: Cross multiply
    34,480.86x = 51,729.42 × 11,106.42
  4. Step 4: Simplify right side
    34,480.86x = 574,528,664.88
  5. Step 5: Solve for x
    x = 574,528,664.88/34,480.86
  6. Step 6: Final answer
    x = 16,662.25

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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.