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Finding the Fourth Proportional to 34,646.46, 51,975.12 and 11,267.42

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Solution

The fourth proportional to 34,646.46, 51,975.12 and 11,267.42 is: 16,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646.46 : 51,975.12 = 11,267.42 : x
  2. Step 2: Convert to fraction form
    34,646.46/51,975.12 = 11,267.42/x
  3. Step 3: Cross multiply
    34,646.46x = 51,975.12 × 11,267.42
  4. Step 4: Simplify right side
    34,646.46x = 585,625,506.59
  5. Step 5: Solve for x
    x = 585,625,506.59/34,646.46
  6. Step 6: Final answer
    x = 16,902.90

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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.