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Finding the Fourth Proportional to 33,076.38, 45,630.28 and 23,029.50

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Solution

The fourth proportional to 33,076.38, 45,630.28 and 23,029.50 is: 31,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.38 : 45,630.28 = 23,029.50 : x
  2. Step 2: Convert to fraction form
    33,076.38/45,630.28 = 23,029.50/x
  3. Step 3: Cross multiply
    33,076.38x = 45,630.28 × 23,029.50
  4. Step 4: Simplify right side
    33,076.38x = 1,050,842,533.26
  5. Step 5: Solve for x
    x = 1,050,842,533.26/33,076.38
  6. Step 6: Final answer
    x = 31,770.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.