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Finding the Fourth Proportional to 33,030, 49,535.28 and 9,650.88

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Solution

The fourth proportional to 33,030, 49,535.28 and 9,650.88 is: 14,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030 : 49,535.28 = 9,650.88 : x
  2. Step 2: Convert to fraction form
    33,030/49,535.28 = 9,650.88/x
  3. Step 3: Cross multiply
    33,030x = 49,535.28 × 9,650.88
  4. Step 4: Simplify right side
    33,030x = 478,059,043.05
  5. Step 5: Solve for x
    x = 478,059,043.05/33,030
  6. Step 6: Final answer
    x = 14,473.48

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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.