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Finding the Fourth Proportional to 33,114.60, 49,688.10 and 25,214.40

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Solution

The fourth proportional to 33,114.60, 49,688.10 and 25,214.40 is: 37,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.60 : 49,688.10 = 25,214.40 : x
  2. Step 2: Convert to fraction form
    33,114.60/49,688.10 = 25,214.40/x
  3. Step 3: Cross multiply
    33,114.60x = 49,688.10 × 25,214.40
  4. Step 4: Simplify right side
    33,114.60x = 1,252,855,628.64
  5. Step 5: Solve for x
    x = 1,252,855,628.64/33,114.60
  6. Step 6: Final answer
    x = 37,833.94

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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.