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Finding the Fourth Proportional to 33,101.80, 49,653.90 and 9,730.60

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Solution

The fourth proportional to 33,101.80, 49,653.90 and 9,730.60 is: 14,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.80 : 49,653.90 = 9,730.60 : x
  2. Step 2: Convert to fraction form
    33,101.80/49,653.90 = 9,730.60/x
  3. Step 3: Cross multiply
    33,101.80x = 49,653.90 × 9,730.60
  4. Step 4: Simplify right side
    33,101.80x = 483,162,239.34
  5. Step 5: Solve for x
    x = 483,162,239.34/33,101.80
  6. Step 6: Final answer
    x = 14,596.25

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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.