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Finding the Fourth Proportional to 33,242.40, 49,841.28 and 15,696

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Solution

The fourth proportional to 33,242.40, 49,841.28 and 15,696 is: 23,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.40 : 49,841.28 = 15,696 : x
  2. Step 2: Convert to fraction form
    33,242.40/49,841.28 = 15,696/x
  3. Step 3: Cross multiply
    33,242.40x = 49,841.28 × 15,696
  4. Step 4: Simplify right side
    33,242.40x = 782,308,730.88
  5. Step 5: Solve for x
    x = 782,308,730.88/33,242.40
  6. Step 6: Final answer
    x = 23,533.46

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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.