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Finding the Fourth Proportional to 33,150.58, 49,729.10 and 9,783.70

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Solution

The fourth proportional to 33,150.58, 49,729.10 and 9,783.70 is: 14,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.58 : 49,729.10 = 9,783.70 : x
  2. Step 2: Convert to fraction form
    33,150.58/49,729.10 = 9,783.70/x
  3. Step 3: Cross multiply
    33,150.58x = 49,729.10 × 9,783.70
  4. Step 4: Simplify right side
    33,150.58x = 486,534,595.67
  5. Step 5: Solve for x
    x = 486,534,595.67/33,150.58
  6. Step 6: Final answer
    x = 14,676.50

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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.