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Finding the Fourth Proportional to 33,097.68, 45,656.46 and 20,975.90

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Solution

The fourth proportional to 33,097.68, 45,656.46 and 20,975.90 is: 28,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.68 : 45,656.46 = 20,975.90 : x
  2. Step 2: Convert to fraction form
    33,097.68/45,656.46 = 20,975.90/x
  3. Step 3: Cross multiply
    33,097.68x = 45,656.46 × 20,975.90
  4. Step 4: Simplify right side
    33,097.68x = 957,685,339.31
  5. Step 5: Solve for x
    x = 957,685,339.31/33,097.68
  6. Step 6: Final answer
    x = 28,935.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.