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Finding the Fourth Proportional to 30,514.50, 45,772.02 and 10,796.40

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Solution

The fourth proportional to 30,514.50, 45,772.02 and 10,796.40 is: 16,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.50 : 45,772.02 = 10,796.40 : x
  2. Step 2: Convert to fraction form
    30,514.50/45,772.02 = 10,796.40/x
  3. Step 3: Cross multiply
    30,514.50x = 45,772.02 × 10,796.40
  4. Step 4: Simplify right side
    30,514.50x = 494,173,036.73
  5. Step 5: Solve for x
    x = 494,173,036.73/30,514.50
  6. Step 6: Final answer
    x = 16,194.70

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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.