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Finding the Fourth Proportional to 30,974.88, 46,484.64 and 11,254.80

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Solution

The fourth proportional to 30,974.88, 46,484.64 and 11,254.80 is: 16,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.88 : 46,484.64 = 11,254.80 : x
  2. Step 2: Convert to fraction form
    30,974.88/46,484.64 = 11,254.80/x
  3. Step 3: Cross multiply
    30,974.88x = 46,484.64 × 11,254.80
  4. Step 4: Simplify right side
    30,974.88x = 523,175,326.27
  5. Step 5: Solve for x
    x = 523,175,326.27/30,974.88
  6. Step 6: Final answer
    x = 16,890.31

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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.