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Finding the Fourth Proportional to 33,201.60, 49,802.40 and 15,705.60

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Solution

The fourth proportional to 33,201.60, 49,802.40 and 15,705.60 is: 23,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.60 : 49,802.40 = 15,705.60 : x
  2. Step 2: Convert to fraction form
    33,201.60/49,802.40 = 15,705.60/x
  3. Step 3: Cross multiply
    33,201.60x = 49,802.40 × 15,705.60
  4. Step 4: Simplify right side
    33,201.60x = 782,176,573.44
  5. Step 5: Solve for x
    x = 782,176,573.44/33,201.60
  6. Step 6: Final answer
    x = 23,558.40

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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.