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Finding the Fourth Proportional to 30,515.33, 45,793.05 and 10,793.15

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Solution

The fourth proportional to 30,515.33, 45,793.05 and 10,793.15 is: 16,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.33 : 45,793.05 = 10,793.15 : x
  2. Step 2: Convert to fraction form
    30,515.33/45,793.05 = 10,793.15/x
  3. Step 3: Cross multiply
    30,515.33x = 45,793.05 × 10,793.15
  4. Step 4: Simplify right side
    30,515.33x = 494,251,159.89
  5. Step 5: Solve for x
    x = 494,251,159.89/30,515.33
  6. Step 6: Final answer
    x = 16,196.81

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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.