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Finding the Fourth Proportional to 33,006.40, 49,509.60 and 9,635.20

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Solution

The fourth proportional to 33,006.40, 49,509.60 and 9,635.20 is: 14,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.40 : 49,509.60 = 9,635.20 : x
  2. Step 2: Convert to fraction form
    33,006.40/49,509.60 = 9,635.20/x
  3. Step 3: Cross multiply
    33,006.40x = 49,509.60 × 9,635.20
  4. Step 4: Simplify right side
    33,006.40x = 477,034,897.92
  5. Step 5: Solve for x
    x = 477,034,897.92/33,006.40
  6. Step 6: Final answer
    x = 14,452.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.