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Finding the Fourth Proportional to 34,514.52, 51,771.86 and 9,554.64

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Solution

The fourth proportional to 34,514.52, 51,771.86 and 9,554.64 is: 14,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514.52 : 51,771.86 = 9,554.64 : x
  2. Step 2: Convert to fraction form
    34,514.52/51,771.86 = 9,554.64/x
  3. Step 3: Cross multiply
    34,514.52x = 51,771.86 × 9,554.64
  4. Step 4: Simplify right side
    34,514.52x = 494,661,436.66
  5. Step 5: Solve for x
    x = 494,661,436.66/34,514.52
  6. Step 6: Final answer
    x = 14,331.98

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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.