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Finding the Fourth Proportional to 33,306.42, 49,984.28 and 15,776.28

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Solution

The fourth proportional to 33,306.42, 49,984.28 and 15,776.28 is: 23,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306.42 : 49,984.28 = 15,776.28 : x
  2. Step 2: Convert to fraction form
    33,306.42/49,984.28 = 15,776.28/x
  3. Step 3: Cross multiply
    33,306.42x = 49,984.28 × 15,776.28
  4. Step 4: Simplify right side
    33,306.42x = 788,565,996.88
  5. Step 5: Solve for x
    x = 788,565,996.88/33,306.42
  6. Step 6: Final answer
    x = 23,676.10

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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.