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Finding the Fourth Proportional to 34,097.88, 51,145.65 and 16,563

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Solution

The fourth proportional to 34,097.88, 51,145.65 and 16,563 is: 24,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.88 : 51,145.65 = 16,563 : x
  2. Step 2: Convert to fraction form
    34,097.88/51,145.65 = 16,563/x
  3. Step 3: Cross multiply
    34,097.88x = 51,145.65 × 16,563
  4. Step 4: Simplify right side
    34,097.88x = 847,125,400.95
  5. Step 5: Solve for x
    x = 847,125,400.95/34,097.88
  6. Step 6: Final answer
    x = 24,843.93

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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.