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Finding the Fourth Proportional to 33,097.59, 49,618.44 and 14,363.46

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Solution

The fourth proportional to 33,097.59, 49,618.44 and 14,363.46 is: 21,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.59 : 49,618.44 = 14,363.46 : x
  2. Step 2: Convert to fraction form
    33,097.59/49,618.44 = 14,363.46/x
  3. Step 3: Cross multiply
    33,097.59x = 49,618.44 × 14,363.46
  4. Step 4: Simplify right side
    33,097.59x = 712,692,478.20
  5. Step 5: Solve for x
    x = 712,692,478.20/33,097.59
  6. Step 6: Final answer
    x = 21,533.06

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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.